How do I find out the square root of a perfect square

Answers

Answer 1
The square root of a number (let’s say 25) refers to that number which when multiplied by itself will give the result as the given number (i.e. 25). In our case, the number is 5. We see that 5, when multiplied by itself (i.e. 5), will result in 25. Therefore, 25 is known as the square of 5, and 5 is known as the square root of 25.

Note:

(1) Multiplying two negative numbers will also result in a positive number. Therefore, (-5)*(-5) is also equal to 25. So, -5 is also a square root of 25. But, in general, we assume the square roots of a positive number to be a positive number.

(2) The square root of 1 is always 1.

We represent the square root of a number by a radical sign (√). Example: √36 = 6 (because 6 x 6 = 36)

Note:

(3) Finding the square root of a negative number (i.e. when the negative sign is inside the radical sign i.e. √-36) is a bit complex and is out of context for this article.

(4) if the minus sign is given outside the radical sign (i.e. -√36), then the answer will always be -6.



There are two types of numbers:

Numbers which are a perfect square: Product of an integer with itself. For example, 9*9 = 81.

Numbers which are an imperfect square: Multiplying any number with itself. For example, 2.236*2.236 = 5.

Finding the square root of an imperfect square is a little more difficult than finding the square root of a perfect square number. We will be covering both the topics in this particular article. But before that, we have to understand what square roots are used for.

For example, Rhea is looking for an apartment in Delhi. She is looking for a 2 bedroom apartment where she can live with her sister. A few phone calls later, she has shortlisted two places after seeing their pictures online. One is 1600 square feet with a balcony and the other is 2500 square feet with two balconies. Now, she can easily gauge the size of the first apartment as 40 feet by 40 feet. The second apartment would be 50 feet by 50 feet. This was just an example. Square roots are used for multiple purposes like these.



Now coming to our main topic, i.e., how to find the square root of a number?

(A) Perfect Square Numbers:-

Before finding the square roots of a number, we have to know the squares of the first 9 natural numbers.

1*1 = 1

2*2 = 4

3*3 = 9

4*4 = 16

5*5 = 25

6*6 = 36

7*7 = 49

8*8 = 64

9*9 = 81

Related Questions

What are the values of x and y? A) X= 9/2; y = 9 B) x = 1843 ; y= 983 C) x= 9; y = 983 OD) x= 913 ; y=9​

Answers

Answer:

Y = 9

Cause the Sin30 = 0.5

and 9² + x² = 18²

324 - 81 = x²

x² = 243

x = 9 √3

The answer becomes "D"

Will Mark Brainlest help me please​

Answers

p(x) × q(x)

= (3x² - x + 1) × (2x² + 3x - 2)

= 6x⁴ + 9x³ - 6x² - 2x³ - 3x² + 2x + 2x² + 3x - 2

= 6x⁴ + 7x³ - 7x² + 5x - 2

What is the value of x in the figure below? In this diagram, ABD ~ CAD. Could somebody help me please? I don't entirely grasp the concept of this.

Answers

Answer:

E.  [tex]\sqrt{39}[/tex]

Step-by-step explanation:

To find the value of x we can use Euclidian theorem

x^2 = 13x3

x^2 = 39 find the root of both sides

x = [tex]\sqrt{39}[/tex]

Given the function f(x)= (x+3)^2 determine the value of f^-1 (49) include a complete solution

Answers

Answer:

Step-by-step explanation:

taking the inverse is essentially saying

x = (f(x) + 3)^2

root(x) - 3 = f(x) and -root(x) -3 = f(x)

(you have to take both the positive and negative roots)

plug in 49 for x and get 4 and -10.

The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4

What does the inverse notation f⁻¹(x) represents?

The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)

The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;

Taking the square root of both sides of the equation, we get;

√(f(x)) = √((x + 3)²)

√(f(x)) = (x + 3)

Subtracting 3 from both sides, we get;

√(f(x)) - 3 = x + 3 - 3 = x

√(f(x)) - 3 = x

The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;

The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x

When the output value is f(x) = 49 we get;

f⁻¹(49) = √(49) - 3 = ±7 - 3

Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;

f⁻¹(49) = 7 - 3 = 4

f⁻¹(49) = 4

Learn more on the inverse of a function here: https://brainly.com/question/1559611

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The ratio of yellow roses to red roses in a garden is 47 to 96. Express this ratio in
two different ways.
OM) 47:96; 96/47
B) 47:96; 47/96
OC) 96/47; 96:47
D) 47/96
196; 96:47

Answers

B is the correct answer. Ratios can be expressed as fractions, in word form, or with colons. The ratio of yellow roses to red is 47 to 96, which is the same as 47:96 or 47/96.

If I had to write 2 pages a day, how long would it take me to write 300 pages?

Answers

Time required for writing 2 pages = 1 day

So, time required for writing 1 pages

= 1 day/2

= ½ day

So, time required for writing 300 pages

= ½ day × 300

= (300/2) days

= 150 days

Answer:

150 days

Step-by-step explanation:

We can write a ratio to solve

2 pages    300 pages

----------- = ------------

1 day            x days

Using cross products

2x = 300

Divide by 2

2x/2 = 300/2

x = 150

150 days

Help fast pleaseeeeeeee

Answers

Answer:

y = [tex]1500(.932)^{t}[/tex]

Step-by-step explanation:

Each cube in this figure is a -centimeter unit cube. How many cubes are in the prism? [Type your answer as a number.]




how many
cubes

Answers

Answer:

72 cubes

Step-by-step explanation:

One face of the cube has 12 cubes. A cube has 6 faces, 12 × 6 = 72. (12 cubes × 6 faces = 72 cubes)

Which set described below is an example of a continuous data set?
A. The set of all prime numbers between 1 and 100
B. The set of all real numbers between 1 and 100,000
C. The set of all integers between 1 ad 100,000
D. The set of all even numbers between 2 and 200​

Answers

Answer:

I think the awnser is d!!!!!

What types of concurrent constructions are needed to find the orthocenter of a triangle?

A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side
C. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
D. intersection of the lines drawn to bisect each vertex of the triangle

Answers

Answer:

B. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side

Step-by-step explanation:

The orthocenter of a triangle is the point of concurrency of the three altitudes or extensions of the the altitudes of a triangle, each of which are perpendicular lines drawn from a vertex of the triangle to the side opposite the vertex

The type of concurrent construction needed to find the orthocenter of a triangle is the point of intersection of the perpendicular lines drawn from each vertex of the triangle, to the side opposite the vertex

Therefore, the correct option is option B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side.

Please help explanation if possible

Answers

Answer:

x-intercept (3 ,0)

y-intercept ( 0, –4)

Step-by-step explanation:

12x-9y=36 —> 12x-9(0)=36 —> 12x=36

x=36/12 —> x=3 —> So (x,y)=(3,0)

12(0)-9y=36 —> -9y=36 —> y=36/-9

y= –4 —> So (x,y) =(0,–4)

I hope I helped you ^_^

Do Now
a) Write the following expression in word form:
2 (x+8)

Answers

Answer:

X plus 8. Multiplied by 2

Step-by-step explanation:

You would follow PEMDAS

Hope this helps. :)

If I'm wrong please correct me.

Answer: Two times the sum of a number and eight.

Explanation: The x+8 portion translates to "the sum of a number and eight". Then we just stick "two times" in front of all that to basically say 2 times (x+8).

David’s mother gave him $200.00 to buy some carrots at the Blue Market. She will be using the carrots to make juice for her church barbecue on Friday. At the market, David finds two vendors selling carrots. Vendor A has carrots for $40.00 per kilogram, and Vendor B has larger carrots for $50.00 per kilogram. Question: A. From which vendor should David buy the carrots? B. Explain why you have chosen that vendor

Answers

Answer:

Assuming that the quality (large vs. small) is the same, and PRICE is the main considerations... The $40 would be a better deal....

This reminds me of the old classic joke (told to me way back when , when I was 5 years old)... Which weighs more a ton of bricks, or a ton of feathers.....

I have to be honest being a five tear old the answer confused me, but I finally

figured it out... THEY BOTH WEIGH THE SAME AMOUNT !!!

Step-by-step explanation:

Mk

From which vendor should David buy the carrot

Please help out with this question ty

Answers

Answer:

x-3

Step-by-step explanation:

y = x+3

Exchange x and y

x = y+3

Solve for y

x-3 = y+3-3

x-3 = y

The inverse is x-3

The answer is: h(x) = x-3

could you tell me how
to do pls​

Answers

Answer:

f) 60+x+30=180°

90+x=180°

x=180-90

x=90°

g) y+35+75=180°

y+110=180

y=180-110

y=70°

Hi I need help can u help me

Answers

Answer:

Pauls answer is not proportional

Step-by-step explanation:

You cannot make more money in an hour than you do in a day.

Hope it helps c:

△STR≅△LMN, SR=7b+8, and LN=11b−12. Find b and SR.

Answers

Given:

[tex]\Delta STR\cong \Delta LMN[/tex]

[tex]SR=7b+8[/tex]

[tex]LN=11b-12[/tex]

To find:

The value of b and SR.

Solution:

We have,

[tex]\Delta STR\cong \Delta LMN[/tex]                          (Given)

[tex]ST\cong LN[/tex]                                  (CPCTC)

[tex]ST=LN[/tex]

Substituting the given values, we get

[tex]7b+8=11b-12[/tex]

[tex]7b-11b=-8-12[/tex]

[tex]-4b=-20[/tex]

Divide both sides by -4.

[tex]\dfrac{-4b}{-4}=\dfrac{-20}{-4}[/tex]

[tex]b=5[/tex]

Now,

[tex]SR=7b+8[/tex]

[tex]SR=7(5)+8[/tex]

[tex]SR=35+8[/tex]

[tex]SR=43[/tex]

Therefore, the value of b is 5 and the measure of SR is 43 units.

Find the midpoint of the segment between the points (15,−17) and (−8,−8)

please help its due soon!!

Answers

(3.5, -12.5).

Good luck

Maeve can paint a room in 3 hours, and Maura can paint an identical room in 5 hours. How many hours would it take both of them to paint 1 room if they work together at their respective rates? ​

Answers

Answer:

1.875 hours

Step-by-step explanation:

1/a + 1/b = 1/c  where a and b are the times alone and c is the time together

1/3 + 1/5 = 1/c

Multiply by 15c to clear the fractions

15c(1/3 + 1/5 = 1/c)

5c+3c = 15

8c = 15

Divide by 8

8c/8 = 15/8

c = 1.875 hours

Lengths of Rectangles
ABCD is a rectangle.
А
Use the diagram to answer the questions
The length of AB is
The length of BC is
The length of AC is
B.
VX
5
D
12
Done

Answers

Answer:

AB = 5

BC = 12

AC = 13

Step-by-step explanation:

A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:

AB = CD = 12

AB = 12

BC = AD = 5

BC = 5

AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:

AC² = AD² + CD²

Plug in the values

AC² = 5² + 12²

AC² = 169

AC = √169

AC = 13

Answer:

Step-by-step explanation:

E2020

I need help asap I’m overtime

Answers

Answer:

gdhduu e7urururuuru ryruurhtjtjjr rgrhrhuru3jriir ruruurhrbrb rurrurhr ururururuu44 yryryuruurjbrbr urhruurhhrhrhr hrhrhrhhrhrurhrh ryyru

If f of x equals the quotient of the quantity x squared minus 36 and the quantity x plus 6 is continuous at x = -6, find f(-6).

Answers

Answer:

f(-6) = -12

Step-by-step explanation:

If you immediately plug in x=-6 and solve it (x^2-36)/x+6, you will not get the right answer.

You need to first expand the perfect square on the numerator (x^2-36) into (x-6)(x+6).

With the perfect square expanded, notice how you have the term (x+6) on both the numerator and denominator. You can cancel out both terms, and you will be left with (x-6).

Now you can plug in x=-6, which will give you -12.

Please help (geometry)

Answers

Now,

<2 = <3 [ vertically opposite angle]

Then,

<2 = <8 [corresponding angles]

Again,

<2 + <5 = 180° [straight angle]

True A || B

I hope you understand...

Mark me as brainliest...

Answer:

True

Step-by-step explanation:

∠ 2 and ∠ 5 are same- side exterior angles and are supplementary, sum to 180°

Which graph shows exponential growth?

On a coordinate plane, a parabola opens up with vertex at (0, 0).
On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up into quadrant 1.
On a coordinate plane, a straight line with positive slope crosses the y-axis at (negative 1, 0) and crosses the y-axis at (2, 0).
On a coordinate plane a curve opens down and to the right in quadrants 1 and 4. It crosses the x-axis at (1, 0).

Answers

Answer 2,0

Explain negative and a positive 4/1

Answer:

its C, the u looking graph

Step-by-step explanation:

2. A pack of 7 rolls of tape sells for $2.73. If the tape is sold individually at the
same rate, how much would 3 rolls cost?
$1.56
$1.17
$0.78
$0.39

Answers

I’m pretty sure the answer would be 0.78 I remember doing this

3 rolls would cost $1.17.

What is Concept of Direct Proportion?

There exists a direct proportion between two values when one exists as a multiple of the other.

In direct proportion, if one quantity exists increased or decreased then the other quantity increases or declines, respectively. But in indirect or inverse proportion, if one quantity increases then the different quantity decreases and vice-versa.

If 7 rolls of tape cost $2.73,

Then 1 roll of tape would cost $2.73/7 = $0.39

Now, the cost of 3 roll of tapes would be 0.39*3 = $1.17

Therefore, at same rate the 3 rolls of tape would cost $1.17.

To learn more about Direct Proportion refer to:

https://brainly.com/question/1266676

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Julie has 5.00 and wants to buy some glue at Walmart glue cost 4.25 how much will julie get back in change and you have to subtract a d slove problem

Answers

Answer:

read below vv

Step-by-step explanation:

d = 5.00 - 4.25

d = 0.75

Answer:

Julie will get back 0.75 in change.

Step-by-step explanation:

d=4.25

5.00-d => 5.00-4.25 = 0.75

Hope this answered your question!

i need help with this!!

Answers

Answer:

where the problems to answer for it

where’s the question??

What is the value of a?
W
b
O 5 units
4
a
с
oss units
O 6 units
3
z
O 7 units

Answers

Answer:

the second option : 5 1/3

Step-by-step explanation:

the height (h) in such a right-angled triangle is based on the 2 segments of the baseline : 3 and a

h = 4

the formula is h = sqrt(a×b)

with a and b being the baseline segments.

so,

4 = sqrt(3×a)

16 = 3×a

a = 16/3 = 5 1/3


The following are the temperatures in °C for the first 10 days in January:
1.4, -8.1, -8.2, -5.2, -3.4, -2.3, 8.3 ,-7.1 ,1.3 ,3.6
Calculate the range.

Answers

The highest temperature is 8.3, in which we call the max.

The lowest temperature is -8.2, which is the min.

Subtract those values to get the range.

Range = max - min = 8.3 - (-8.2) = 8.3 + 8.2 = 16.5

Answer:  16.5 degrees Celsius

Find the measure of one interior angle for the following regular polygon

Answers

Answer:

Step-by-step explanation:

I am assuming that by "interior" angle you do not mean the central angle.

This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.

Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:

180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.

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