Simplifying Nonperfect Roots

Question 1

What values of c and d make the equation true?

Revolt · Accepted Answer

c = 6, d = 2

Question 2

Which expression is equivalent to ? Assume and

Revolt · Accepted Answer

8 x Superscript 4 Baseline y z Superscript 4 Baseline StartRoot 2 y z EndRoot

Question 3

Which expression is equivalent to ?

Revolt · Accepted Answer

4 a squared b squared c cubed (RootIndex 3 StartRoot b EndRoot)

Question 4

Which expression is equivalent to ? Assume .

Revolt · Accepted Answer

StartFraction x squared StartRoot x EndRoot Over 3 EndFraction

Question 5

What is the simplest form of ?

Revolt · Accepted Answer

3 a b squared (RootIndex 3 StartRoot b EndRoot)

Question 6

Which expression is equivalent to ? Assume .

Revolt · Accepted Answer

StartFraction RootIndex 3 StartRoot 5 EndRoot Over 3 x EndFraction

Question 7

Which expression is equivalent to ?

Revolt · Accepted Answer

x squared (RootIndex 4 StartRoot x squared EndRoot)

Question 8

Which expression is equivalent to ? Assume x > 0 and y 0.

Revolt · Accepted Answer

StartFraction StartRoot 5 EndRoot Over x squared y EndFraction

Question 9

Which expression is equivalent to ?

Revolt · Accepted Answer

2 x squared y cubed (RootIndex 3 StartRoot 4 x squared y EndRoot)

Question 10

Which expression is equivalent to ?

Revolt · Accepted Answer

10 StartRoot 2 EndRoot

Simplifying Nonperfect Roots Answers