True or false: (√2 + √3)^2 = 2 + 3 = 5

Explain:

Answers

Answer 1

Hi! I'm happy to help!

A square root, means:

√x=y

This means that:

x=y·y=√x·√x

When we have the square button, it causes everything to be multiplied by itself once.

√x²=x

Due to the fact that the squared symbol is outside of the parenthesis, it causes both the square toot of 2, and the square root of 3, to be squared.

Now that we know this, √2², and √3²= 2, and 3.

This is why we get 2+3.

2+3=5, which is pretty self explanatory.

I hope this was helpful, keep learning! :D


Related Questions

Help me plzzzz

(x+1)^2 -3(x+2)

If you could give an explanation that would be great!

Answers

Answer:

x^2-x-5

Step-by-step explanation:

1. expand the square

(+1)(+1)−3(+2)

2. distribute

(+1)+1(+1)−3(+2)

3. distribute

^2++1(+1)−3(+2)

4. multiply by 1

^2+++1−3(+2)

5. combine like terms

^2+2+1−3(+2)

6. distribute

^2+2+1−3−6

7. subtract the numbers

^2+2−5−3

8. combine like terms

^2−−5

9. gg you are done

^2−−5

Stephen belongs to a movie club in which he pays an annual fee of $39.95 and then rents DVDs for $0.99 each. In one year, Stephen spent $54.80. How many DVDs did he rent? If possible, can you give me the equation and solution as well?

Answers

15 dvds hope this makes sense

can u guys help 100pts

Answers

Answer:

1 line

Step-by-step explanation:

1 line

Answer:

1 line

Step-by-step explanation:

the perimeter of a rectangular tray is 60in the length of the tray is double the width of a tray determine the dimensions of the rectangular tray​

Answers

Answer:

Step-by-step explanation:

Width = w

Length = double the width = 2*w = 2w

Perimeter of rectangular tray = 60 in

2*(length + width) = 60

          2*( 2w + w) = 60    

                    2*3w = 60

                       6w  = 60

Divide both sides by 6

w = 60/6

w = 10 in

length =2w = 2*10 = 20

length = 20 in

Width = 10 in

three times the sum of a number and six
3(x=6)
3(x-6)
3(x+6)
3x+6

Answers

Answer:

3(x+6)

Step-by-step explanation:

Parenthesis after a number typically means multiply, so 3 times the sum of an unspecified number (x), plus 6 would be 3 (x+6)

(4x – 6) + (5x + 1).

Answers

Answer:

9x - 5

Step-by-step explanation:

(4x – 6) + (5x + 1).

4x - 6 + 5x +1

9x - 5

Have a good day

Answer:

9x - 5

Step-by-step explanation:

To get the this answer you would combine like terms. 4x and 5x are like terms, so you would combine them and get 9x. -6 and 1 are like terms, so you would combine those and get -5.

five friends by a package of 12 cookies and want to share them equally each friend will get 1/5 of the cookies how much will each friend get

Answers

Answer:

2.4 cookies

Step-by-step explanation:

Just divide

for the equation Y= 2(x+4)-3 what ordered pair what are used to start a graphing PLEASEEEE HELP

Answers

Answer:

(4,-3)

Step-by-step explanation:

*WILL MARK BRAINLIEST*
The line plot below shows the lengths, in yards, of fabrics that are for sale at a craft fair. How many yards of fabric in all are for sale?
*NO SPAM, NO LINKS.*
*PLEASE LOOK AT THE PICTURE OF THE CHART I PROVIDED BELOW*
*ANSWERS ONLY IN FRACTIONS*​

Answers

14 3/4 yards are for sell at the craft fair .

Oh and made 60% of the shots he attempted during his hockey practice he made 18 shots how many shots did Owen attempt during his hockey practice

Answers

Answer:

Owen attempted a total of 30 shots.

Step-by-step explanation:

Let's Owen's total number of attempted shots be S.

He made 60% of his total shots, which is 18. In other words, 60% of S is 18:

[tex]0.6S = 18[/tex]

Solve for S:

[tex]\displaystyle S = \frac{18}{0.6} = 30[/tex]

In conclusion, Owen attempted a total of 30 shots.

(7m+6) (6m^2+4m+4) I really suck at math

Answers

[tex]\large\mathfrak{{\pmb{\underline{\orange{Your\:answer }}{\orange{:}}}}}[/tex]

[tex]:⟼  (7m + 6)(6 {m}^{2} + 4m + 4)[/tex]

[tex]:⟼  7m \: (6 {m}^{2} + 4m + 4) + 6 \: (6 {m}^{2} + 4m + 4)[/tex]

[tex]:⟼  42 {m}^{3} + 28 {m}^{2} + 28m + 36 {m}^{2} +24 m + 24[/tex]

[tex]:⟼  42 {m}^{3} + 28 {m}^{2} + 36 {m}^{2} + 28m + 24m + 24[/tex]

[tex]:⟼  42 {m}^{3} + 64 {m}^{2} + 52m + 24[/tex]

[tex]:⟼  2(21 {m}^{3} + 32 {m}^{2} + 26m + 12)[/tex]

[tex]\sf \bf {\boxed {\mathbb {HAPPY\:LEARNING.}}}[/tex]

Answer:

[tex]42 {m}^{3} + 64 {m}^{2} + 52m + 24[/tex]

Step-by-step explanation:

[tex](7m + 6)(6 {m}^{2} + 4m + 4)[/tex]

[tex] = 7m(6 {m}^{2} + 4m + 4) + 6(6 {m}^{2} + 4m + 4)[/tex]

[tex] = 42 {m}^{3} + 28 {m}^{2} + 28m + 36 {m}^{2} + 24m + 24[/tex]

[tex] = 42 {m}^{3} + 64 {m}^{2} + 52m + 24( ans)[/tex]

Angel got a job at in-n-out burger. He works 20 hours a week and makes $15.75 an hour. How much will his
paycheck be after 2 weeks of work (before uncle sam takes away taxes

Answers

Multiply hours per week by hourly pay rate:

20 x $15.75 = $315.00 per week

Multiply by 2 weeks:

$315 x 2 = $630

After 2 weeks paycheck is $630

Answer:

630

Step-by-step explanation:

15.75 x 20 = 315

315 is how much Angel makes in one week

315 x 2 = 630

630 is how much he will make in two weeks

The 2 signifies how many weeks have been worked

Evaluate.
8 x 8 = 5
+ 3 eights
<
= 40 +
h
RE
=

Answers

Answer:

[tex]8 \times 8 = 5 \: ( \:8 \: ) + 3 \: eights \\ = 40 + 24 \\ = 64[/tex]

I hope I helped you^_^

When the fraction below is written as a decimal, how many digits are in the smallest sequence of repeating digits?



A. 0
B. 1
C. 2
D. 3

Answers

Answer:

2 repeating digits

What is the value of f(3) when
f(3) when f(x) = 4x+1

Answers

Answer:

f(3) = 13

Step-by-step explanation:

f(x) = 4x+1

f(3) = 4(3) + 1

f(3) = 12 + 1

f(3) = 13

Find the perimeter. Simplify your answer.
4a-10
1
a-3
a-3
4a-10

Answers

2(a - 3) + 2(4a - 10) =

= 2a - 6 + 8a - 20 =

= 2a + 8a - 6 - 20 = 10a - 26 ← the end

Answer: I think it is 10a-26

Step-by-step explanation: (4a-10) + (4a-10) + (a-3) + (a-3)

                                              = 10a-26

10.
a. Explain how to add two integers with the same sign.
b. Explain how to add two integers with different signs.

Answers

Answer:

a) To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

b) To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

Step-by-step explanation:

Mark me brainliest if it helps you .

Simplify: 3y^3 • y^2

Answers

Answer:

3y5

Step-by-step explanation:

Cuál es la respuesta

Answers

la respuesta es b. 9/100

Last year, there were b pies baked for the bake sale. This year, there were 211 pies baked. Using b, write an expression for the total number of pies baked in the two years.

Answers

Answer:

211+b=x

Step-by-step explanation:

How do you solve this?

Answers

Answer:

f(- 10) = 74

Step-by-step explanation:

To find f(- 10) , substitute n = - 10 into f(n) , that is

f(- 10) = - 7(- 10) + 4 = 70 + 4 = 74

Hello there!

We are given a function below:

[tex] \displaystyle \large{f(n) = - 7n + 4}[/tex]

To find f(-10), substitute n = -10.

[tex] \displaystyle \large{f( - 10) = - 7( - 10) + 4}[/tex]

Evaluate the f(-10)

[tex] \displaystyle \large{f( - 10) = 70 + 4}[/tex]

Recall

Negative × Negative = Positive

Therefore,

[tex] \displaystyle \large{f( - 10) = 74}[/tex]

f(-10) = 74

Let me know if you have any questions!

Topic: Functions

A regular square-based pyramid has a surface area of 33 m2. If its triangular faces have an area of 6 m2, what is the length of the base of the pyramid?

Answers

Answer:

First we can do 33 time 6

Step-by-step explanation:

The length of the base of the pyramid is 3 meters.

What is a square pyramid?

A pyramid is a polyhedron that has a base and 3 or greater triangular faces that meet at a point above the base. A square pyramid is a pyramid with a square base, four triangular sides, five vertices, and eight edges.

For the given situation,

The surface area of the pyramid = 33 m^2

Area of triangular faces = 6 m^2

Let the base of the pyramid be b and the height be h.

The formula of area of triangle is

[tex]A = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6 = \frac{1}{2}(b)(h)[/tex]

⇒ [tex]6(2) = (b)(h)[/tex]

⇒ [tex]12 = (b)(h)[/tex]

The formula of surface area of square pyramid is

[tex]SA = b^{2}+2bh[/tex]

⇒ [tex]33=b^{2} +2(12)[/tex]

⇒ [tex]33-24=b^{2}[/tex]

⇒ [tex]b=\sqrt{9}[/tex]

⇒ [tex]b=3[/tex]

Hence we can conclude that the length of the base of the pyramid is 3 meters.

Learn more about square pyramid here

https://brainly.com/question/22645991

#SPJ2

0.6 divide by 0.48 and show me how you did it plz

Answers

.6 / .48 = 1.25
.48 goes into .60 how many times?
1.25
Or you could just use a calculator

Two complementary angles form a linear pair.

a) None of the choices

b) Sometimes

c) Never

d) Always true   ​

Answers

Answer:

always true

Step-by-step explanation:

Can someone help me it’s due today!

Answers

Answer:

Y is less than or equal to -1, or negative infinity to -1

Step-by-step explanation:

The range is which y values are included. The line extends forever getting lower in y values, and the highest y value is -1. You can either write it as { y | y[tex]\leq[/tex] -1 } or ( -∞, -1]

[tex]f(x)=x^{4} -x^{3} -7x^{2} +10+5x[/tex]
1. write in standard form
2. use Descartes rule of sign
3. possible roots
4. first synthetic division
5. reconsider possible roots
6. second synthetic division
7. quadratic equation
8. solution set

Answers

Nice hfiebeiciysbwjwkdkcoc

Read the sentence from section "The Tetractys" The Greeks made mathematics rigorous- everything had to be proved logically. Which of the following words, if it replaced the word "rigorous" in the sentence above, would CHANGE the meaning of the sentence? A exact B precise C thorough D appealing

Answers

The answer is C Thorough

g(x)=x^2-5
g(9)
help!

Answers

You’re given g(x) = x^2 - 5

When asked to find g(9), you’re being told that x=9, since the x in the g(x) was replaced by 9.

So that’s telling you to put 9 in for all x’s:
g(9) = (9)^2 - 5

You then just need to clear up the right hand side.

9^2 - 5 = 81 - 5

= 76

So, g(9) = 76

Find the area for all of these numbers

Answers

answer : 29
………………….

Answer:

The Answer is 29cm

Step-by-step explanation:

The area of this shape is made from two shapes.

Shape one is a rectangle with the dimensions 2cm by 4cm

2x4 = 8

So the area of rectangle 1 is 8

The other rectangle has the dimensions 4cm by 7cm

Because you have to account for the other triangle not being there (solved)

4x7 = 21

21+8

29cm

which of the following situations describes a postive number

Answers

Answer:

B. Going up the elevator 14 floors

Step-by-step explanation:

Choice A can't be right because you are going below sea level (negative).

Choice C can't be correct either because the word "losing" let's you know that it's negative.

Choice D isn't right because if you are taking $20 from your checking account, it would be a negative number.

Hope this helps!

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