Mathematics, 13.10.2020 02:01 JAlvelo

Simplify each radical And show your work √72
√20
√42
2√12
3√75
-2√18

Answers: 2

Show answers

Answers

Answer from: andile64

[See Below]

Step-by-step explanation:

$\boxed{Hey~There!}$

__________________________________________________________

$\boxed{Simplify~each~radical:}$

1.) $\sqrt{72}$ :

Factor

into its prime factors :

72 = 23 * 32

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:

36 = 22 * 32

Factors which will remain inside the root are:

2 = 2

To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by

6 = 2 * 3

$\boxed{The~answer~is: 6\sqrt{2}}$

2.) $\sqrt{20}$ :

Factor

into its prime factors :

20 = 22 * 5

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:

4 = 22

Factors which will remain inside the root are:

5 = 5

To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by

2 = 2

$\boxed{The~answer~is: 2\sqrt{5}}$

3.) $\sqrt{42}$ :

Factor

into its prime factors :

42 = 2 * 3 * 7

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified .

$\boxed{The~answer~is: \sqrt{42} }$

4.) $2\sqrt{12}$ :

Factor

into its prime factors :

12 = 22 * 3

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:

4 = 22

Factors which will remain inside the root are:

3 = 3

To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by

2 = 2

$\boxed{The~answer~is: 4\sqrt{3} }$

5.) $3\sqrt{75}$ :

Factor

into its prime factors :

75 = 3 * 52

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:

25 = 52

Factors which will remain inside the root are:

3 = 3

To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by

5 = 5

$\boxed{The~answer~is: 15\sqrt{3}}$

6.) $-2\sqrt{18}$ :

Factor

into its prime factors :

18 = 2 * 32

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:

9 = 32

Factors which will remain inside the root are:

2 = 2

To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by

3 = 3

$\boxed{The~answer~is: 3\sqrt{5}~or~-6\sqrt{2}}$

__________________________________________________________

$Hope~this~helps~Mate~\\-Your~Friendly~Answerer,~Shane$ ^-^

Answer from: Quest

the answer is y < -3 or y > 3

-3y > 7 + 2

-3 y > 9

y < -3

Answer from: Quest

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Correct answer brainliest asap an d 99 pointsss what are relative frequencies to the nearest hundredth of the columns of two way table column a 102, 18 colunm b 34, 14 answers choices 0.15 0.25 0.29 0.44 0.56 0.71 0.75 0.85

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Last year, a state university received 3,560 applications from boys. of those applications, 35 percent were from boys who lived in other states. part a)how many applications did the university receive from boys who lived in other states? part b)applications to the university from boys represented 40percent of all applications. how many applications did the university receive in all? i don't how to do part b so me and plz tell how you got your answer

Answers: 1

Answer

Mathematics, 21.06.2019 18:30

What is the value of x in the following equation? -3x-2=2x+8

Answers: 1

Answer

Mathematics, 21.06.2019 21:20

Paul’s car is 18 feet long. he is making a model of his car that is 1/6 the actual size. what is the length of the model?

Answers: 1

Answer

You know the right answer?

Simplify each radical And show your work √72
√20
√42
2√12
3√75
-2√18...