Simplifying Nonperfect Roots — Quiz

Question 1

What is the simplest form of sqrt(80⁢r^5⁢s^2) , assuming r≥0 and s≥0 ? Enter your answers in the boxes.

Revolt · Accepted Answer

4r^{2}s\sqrt{5r}

Question 2

Which expression is equivalent to square root of the fraction with numerator 128 x to the 5th power y to the 6th power and denominator 2 x to the 7th power y to the 5th power end root ? Assume x is greater than 0 and y is greater than 0

Revolt · Accepted Answer

the fraction with numerator 8 square root of y and denominator x

Question 3

Which expression is equivalent to square root of 120 x ?

Revolt · Accepted Answer

60 square root of 2 x; 2 square root of 30

Question 4

The simplest form of sqrt(432) can be written as p⁢sqrt(q) What are the values of p and q ? Enter your answers in the boxes.

Revolt · Accepted Answer

12|3

Question 5

Which expression is equivalent to square root of the fraction with numerator 55 x to the 7th power y to the 6th power and denominator 11 x to the 11th power y to the 8th power end root ? Assume x is greater than 0 and y is greater than 0

Revolt · Accepted Answer

the fraction with numerator square root of 5 and denominator x squared y; the fraction with numerator x square root of 5 and denominator y

Question 6

Which expression is equivalent to cube root of the fraction with numerator 10 x to the 5th power and denominator 54 x to the 8th power ? Assume x is not equal to 0

Revolt · Accepted Answer

the fraction with numerator cube root of 10 x and denominator 3 x squared

Question 7

Which expression is equivalent to square root of the fraction with numerator 25 x to the 9th power y cubed and denominator 64 x to the 6th power y to the 11th power end root ? Assume x is greater than 0 and y is greater than 0

Revolt · Accepted Answer

the fraction with numerator 5 square root of x and denominator 8 y squared; the fraction with numerator 8 y to the 4th power square root of x and denominator 5 x

Question 8

Which expression is equivalent to cube root of 32 x to the 8th power y to the 10th power ?

Revolt · Accepted Answer

2 x squared y cubed open paren cube root of 4 x squared y close paren

Question 9

Which expression is equivalent to square root of 200 ?

Revolt · Accepted Answer

10 square root of 2

Question 10

Which expression is equivalent to 4th root of the fraction with numerator 24 x to the 6th power y and denominator 128 x to the 4th power y to the 5th power ? Assume x is not equal to 0 and y is greater than 0

Revolt · Accepted Answer

the fraction with numerator x times open paren 4th root of 3 close paren and denominator 4 y squared; the fraction with numerator 4th root of 3 x squared and denominator 2 y

Simplifying Nonperfect Roots — Quiz Answers

More from this Course

TRY EDGENUITY HACKS