Simplifying Nonperfect Roots Answers

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1
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What is the simplest form of ?

Question illustration
A
3 a b squared (RootIndex 3 StartRoot b EndRoot)
Option A
B
3 a b cubed (RootIndex 3 StartRoot 3 a b EndRoot)
Option B
C
9 a b squared (RootIndex 3 StartRoot b EndRoot)
Option C
D
9 a b cubed (RootIndex 3 StartRoot 3 a b EndRoot)
Option D
2
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Which expression is equivalent to ? Assume and y 0.

Question illustration
A
StartFraction RootIndex 4 StartRoot 3 EndRoot Over 2 x squared y EndFraction
Option A
B
StartFraction x (RootIndex 4 StartRoot 3 EndRoot) Over 4 y squared EndFraction
Option B
C
StartFraction RootIndex 4 StartRoot 3 EndRoot Over 4 x y squared EndFraction
Option C
D
StartFraction RootIndex 4 StartRoot 3 x squared EndRoot Over 2 y EndFraction
Option D
3

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

Question illustration
A
StartFraction 8 y Superscript 4 Baseline StartRoot x EndRoot Over 5 x EndFraction
Option A
B
StartFraction 8 y squared StartRoot x EndRoot Over 5 EndFraction
Option B
C
StartFraction 5 StartRoot x EndRoot Over 8 y squared EndFraction
Option C
D
StartFraction 5 x StartRoot x EndRoot Over 8 y Superscript 4 Baseline EndFraction
Option D
4

Which expression is equivalent to ?

Question illustration
A
4 x squared y cubed (RootIndex 3 StartRoot 2 x squared y EndRoot)
Option A
B
2 x Superscript 4 Baseline y Superscript 5 Baseline (RootIndex 3 StartRoot 4 EndRoot)
Option B
C
2 x squared y cubed (RootIndex 3 StartRoot 4 x squared y EndRoot)
Option C
D
4 x Superscript 4 Baseline y Superscript 5 Baseline (RootIndex 3 StartRoot 2 EndRoot)
Option D
5

Which expression is equivalent to ?

Question illustration
A
2 StartRoot 30 x EndRoot
Option A
B
2 StartRoot 30 EndRoot
Option B
C
4 StartRoot 30 x EndRoot
Option C
D
60 StartRoot 2 x EndRoot
Option D
6

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

Question illustration
A
StartFraction x StartRoot y EndRoot Over 8 EndFraction
Option A
B
StartFraction y StartRoot x EndRoot Over 8 EndFraction
Option B
C
StartFraction 8 StartRoot x EndRoot Over y EndFraction
Option C
D
StartFraction 8 StartRoot y EndRoot Over x EndFraction
Option D
7

Which expression is equivalent to ?

Question illustration
A
2 StartRoot 10 EndRoot
Option A
B
10 StartRoot 2 EndRoot
Option B
C
10 StartRoot 20 EndRoot
Option C
D
100 StartRoot 2 EndRoot
Option D
8

Which expression is equivalent to ?

Question illustration
A
2 a b c squared (RootIndex 3 StartRoot 4 a squared b cubed c EndRoot)
Option A
B
4 a squared b squared c cubed (RootIndex 3 StartRoot b EndRoot)
Option B
C
8 a cubed b cubed c Superscript 4 Baseline (RootIndex 3 StartRoot b c EndRoot)
Option C
D
8 a squared b squared c cubed (RootIndex 3 StartRoot b EndRoot)
Option D
9

What values of a and b make the equation true?

Question illustration
A
a = 3, b = 2
B
a = 2, b = 3
C
a = 3, b = 4
D
a = 4, b = 3
10

Which expression is equivalent to ?

Question illustration
A
x squared (RootIndex 4 StartRoot x squared EndRoot)
Option A
B
x2.2
C
x cubed (RootIndex 4 StartRoot x EndRoot)
Option C
D
x5

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