Simplify the following surd expressions
a) 7V3 - 2V3 + V3 - 3V3
b) 5V7 +4V7 – 8V7

Simplify The Following Surd Expressionsa) 7V3 - 2V3 + V3 - 3V3b) 5V7 +4V7 8V7

Answers

Answer 1

Step-by-step explanation:

[tex]a) \: 7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]

[Taking sq.root 3 common]

[tex] = (7 - 2 + 1 - 3) \sqrt{3} [/tex]

[tex] = (8 - 5) \sqrt{3} [/tex]

[tex] = 3 \sqrt{3} (ans)[/tex]

[tex]b) \: 5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]

[Taking sq.root 7 common]

[tex] = (5 + 4 - 8) \sqrt{7} [/tex]

[tex] = (9 - 8)\sqrt{7} [/tex]

[tex] = 1 \sqrt{7} [/tex]

[tex] = \sqrt{7} (ans)[/tex]


Related Questions

hey I have a doubt isn't for this question the ans supposed to be 36 but the option is not there so could you plzz help me ​

Answers

Answer:

Its actually 31

Step-by-step explanation:

Try drawing it and counting the matches

Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?

Answers

Answer:

x = 9

Step-by-step explanation:

24x - 18 - 8x - 30 = 96

add or subtract like terms

16x - 48 = 96

shift - 48 to right hand side . when it goes to other side minus changes to plus

16x = 96 + 48

16x = 144

x = 144/16

x = 9

to prove that the value of x satisfy the given equation or not.

to prove that the value of x is 9 substitute 9 inplace of x and if it gives 96 then it satisfy

24x - 18 - 8x - 30 = 96

24*9 - 18 - 8*9 - 30 = 96

216 - 18 - 72 - 30 = 96

216 - 120 = 96

96 = 96

since both sides is equal to 96 it can be concluded that the value of x is 9.

Problem

Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?

AnswerX = 9

Step by Step Explanation

24x - 18 - 8x - 30 = 96

First let's just add/subract the following terms.

16x - 48 = 96

Second.. shift the 48 to the right side. after that change the minus sign into plus sign.

16x = 48 + 96

16x = 44

x = 144/16

x = 9

Explanation:

So we just prove that the value of x satisfy the equation true or not.

To prove that the value of x is 9.. we just substitute the 9 in place of x and if it was 96 the result of the equation the problem must be true.

So we begin to solve it!

24x - 18 - 8x - 30 = 96

24*9 - 18 - 8*9 - 30 = 96

216 - 18 - 72 - 30 = 96

216 - 120 = 96

Since that all both sides are equal to 96 it can be concluded that the value of x is 9.

#LearnwithBrainly

Daine simplified the expression below.

8(1 + 2i) – (7 – 3i) = 1 + 5i

What mistake did Daine make?

Answers

Answer:

Step-by-step explanation:

8(1 + 2i) -  (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)

                          = 8 + 16i -7 + 3i

                          = 8 - 7 + 16i + 3i

                          = 1 + 19i

Daniel forgot to multiply 2i by 8

Answer:

A , He did not apply the distributive property correctly for 8(1 + 2i).

on edge

Step-by-step explanation:


PLEASE HELP ME
PLEASE HELP ME
Find the lateral surface area of
the following square pyramid:
4 cm
6 cm
LA = [?] cm2

Answers

In square based pyramid
Length of base (a)=6cm
Slant height (l)=4 cm
Now,
LSA=2al
= 2*6*4
=48cm^2

Answer:

Surrounding area of pyramid = area of a side face multiplied by 4

Step-by-step explanation:

The area of a side face is the area of the triangle:

[tex]\frac{1}{2} *6*4[/tex] = 12

So the perimeter of the pyramid is:

12×4=48

Explanation: because the side faces have the same area.

Help me please! I will give brainliest!

Answers

Answer:

i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.

given log base3 4 = log base 1/27 k , find the value of k .​

Answers

Answer:

k =0.156

Step-by-step explanation:

According to the Question,

We Have To apply Just some Basic Properties of log here.

[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]

0.620/0.4771 = ㏒k / -1.4313

㏒k = -1.86

k = anti㏒(-1.86)

k =0.156

I NEED HELP ASAP PLESSEEE
What is the relation between the variables in the equation

Y/x^2= 10?
a. x varies directly with the square of y
b. y squared varies inversely with x
C. y varies directly with x squared
y varies inversely with x squared
d.

Answers

Answer:

I think C is the relation between the variables.

However, does these questions will be marked as brantliest !!!!

Answers

Answer:

i don't see questions but I'll go download the app on your picture:))

4.79 × 10^-6

0.0000000734

Hope this helps! :)

What are the solutions of the equation −2x−6=−2^x−6 ?

Select each correct answer.


x=−1

x = 0

x = 1

x = 2

x = 3

Answers

9514 1404 393

Answer:

  x = 1, x = 2

Step-by-step explanation:

A graphing calculator shows the graphs cross at x=1 and x=2.

__

There is no algebraic method of solving an equation like this. Trial and error is another method that works.

Which of the following does (square root f^2) simplify to, for any nonnegative real number f?

Answers

Answer:A

Step-by-step explanation:

In △FGH, L is the centroid. If LK = 19, find GL

Answers

Answer:

GL = 38

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

GL = 2 LK = 2 × 19 = 38

Answer:

the centroid has special featuresfor this

Step-by-step explanation:

the rate of long must be like this [GL]=2[LK]

we can say that our answer is 38 easily

Find the area of the shape.
17 m
4 m
7 m
9 m
What is the area

Answers

Step-by-step explanation:

Area squares the unit of length. in this case, none of these are area

(By the way is this question tagged with a picture)

Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.

Answers

Answer:

multiplying a fraction by a repeating decimal

Step-by-step explanation:

any fraction is rational

any repeating decimal is rational

therefore, product of the two would be rational

Please explain the answer and show your work

Answers

Answer:

6

Step-by-step explanation:

Arc length ACB = 6 pi

The arc length = fraction of a circle times the circumference

6 pi = 180/360 * 2 * pi *r

6 pi = 1/2 * 2 * pi*r

6 pi =  pi r

The radius is 6

Find the missing side. Round to the nearest tenth.
A.7.4
B.4.4
C.6.4
D.5.4​

Answers

Answer:

option D

Step-by-step explanation:

take 39 degree as reference angle

using cos rule

cos 39 = adjacent / hypotenuse

0.77 = x / 7

x = 7*0.77

x = 5.39

x = 5.4

Answer:

D. 5.4

Step-by-step explanation:

Using trigonometric ratio

cos 39 = x/7

cross multiple

x = cos39(7)

x=5.4

I need help with number 35 please help

Answers

Answer:

B. shelves × 51

Reason:

sum of all books= 357

sum of shelves= 17

no of shelves × 21

or, 17 × 21= 357

which is the number of books.

En una granja hay 26 corrales con una capacidad para 68 gallinas cada uno. Sí cada gallina pone un huevo cada día ¿cuántos huevos recolectan en una semana (7 días )?

Answers

Answer:

12376 huevos

Step-by-step explanation:

Son 68 gallinas en 26 corrales por tanta se multiplicaría

26 x 68=1768 estas serian el total de las gallinas en todos los corrales, aparte te dicen que cada pone un huevo al día, entonces como te piden cuantos huevos serán en 7 días sería:

1768 x 7= 12376

1768= a los huevos de cada gallina en un día ya que te dice que cada una pone un huevo en cada día.

(6x+15)°
63° triangle

Answers

Answer:

x = 2

Step-by-step explanation:

The sum of the 3 angles in the triangle = 180°

Sum the 3 angles and equate to 180

6x + 15 + 90 + 63 = 180

6x + 168 = 180 ( subtract 168 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Factorise a² - b²
.......

Answers

(a-b)(a+b)

Regards,
ArmyCee:)

[tex]\longrightarrow{\green{ (a + b)(a - b) }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

[tex] ={a}^{2} - {b}^{2} [/tex]

[tex] = (a + b)(a - b)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

The price of an item has been reduced by $1.84. The original price was $46.91. What is the price now?

Answers

Answer:

$45.07

Step-by-step explanation:

46.91-1.84= 45.07

Which equation models the data in the table?

Answers

i think it’s direct variation y= 12/x i’m note 100% sure tho

can you help me with this. Find the surface area ​

Answers

Answer:

2370 cm²

Step-by-step explanation:

2(32·15+15·15+15·32) = 2370

ForEASY BRAINLIEST!!!

Answer:
A.
B.
C.

Answers

Answer:

A. x-3

B. x-14

C. x-10

Step-by-step explanation:

Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-

Step-by-step explanation:

a) x - 3

b) x - 14

c) x − 10

Emma received 2,147,389 votes in a national talent show.
The value of the digit 2 in her score is

Answers

Answer:

It is 2 million

Answer:

Million

Step-by-step explanation:

Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.

I NEED THIS FAST

Answers

Answer:

y = -1/6x - 1/2

Step-by-step explanation:

y = -1/6x + b

-1 = -1/6(3) + b

-1 = -1/2 + b

-1/2 = b

The sum of $4500 is divided among Anesha, Sian and Joanne in the ratio 7: 11: 12
respectively.
Calculate
(i) The amount of money each person received
(ii) The percentage of the total that Joanne received.

Answers

12.35 because you are divided in to equal parts

! Task 1. Bookwork code: G24 Calculator X not allowed Anthony has three number cards, as shown below. The minimum of the three cards is 6. The range of the three cards is 5. What is the mean of Anthony's three cards? Cards are 6, 7 and unknown​

Answers

Answer:

8

Step-by-step explanation:

In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.

[tex]5=x-6[/tex]

Add 6 to both sides

[tex]11=x[/tex]

Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):

[tex]mean=\frac{6+7+11}{3}[/tex]

Add 6+7+11

[tex]mean=\frac{24}{3}[/tex]

Divide by 3

[tex]mean=8[/tex]

Help me please which expression is equal

Answers

The answer is C.

45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.

If a number is chosen at random from the numbers 1 to
20 inclusive, what is the probability that a single-digit
number will be picked? ( give your answer in simplified
fractions eg. 2/5 when necessary)

Answers

Answer:

1/20

Step-by-step explanation:

only a single number can be chosen out of 20. And 1/20 is the most simplified it can get.

I need help with this can someone help me please!!! I will give brainlist, no links!!
Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?

Answers

Answer:

Leo stop at 1339. 3 feet tall and Leo almost reach the top of the building

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