Dividing Radicals Answers

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Multiplying by which fraction will produce an equivalent fraction with a rational denominator?

Question illustration
A
StartFraction StartRoot 17 EndRoot minus StartRoot 2 EndRoot Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction
Option A
B
StartFraction StartRoot 17 EndRoot + StartRoot 2 EndRoot Over StartRoot 17 EndRoot + StartRoot 2 EndRoot EndFraction
Option B
C
StartFraction StartRoot 2 EndRoot minus StartRoot 17 EndRoot Over StartRoot 2 EndRoot minus StartRoot 17 EndRoot EndFraction
Option C
D
StartFraction StartRoot 15 EndRoot Over StartRoot 15 EndRoot EndFraction
Option D
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What is the simplified form of the following expression? Assume .

Question illustration
A
StartFraction 2 (RootIndex 3 StartRoot 6 x squared y squared EndRoot) Over y EndFraction
Option A
B
StartFraction RootIndex 3 StartRoot 12 x squared y EndRoot Over 2 y EndFraction
Option B
C
StartFraction x (RootIndex 3 StartRoot 3 y EndRoot) Over 2 y EndFraction
Option C
D
StartFraction RootIndex 3 StartRoot 6 x squared y squared EndRoot Over 2 y EndFraction
Option D
3

What is the following quotient?

Question illustration
A
StartFraction 12 StartRoot 2 EndRoot minus 6 StartRoot 3 EndRoot Over 5 EndFraction
Option A
B
StartFraction 3 StartRoot 6 EndRoot minus 4 StartRoot 3 EndRoot Over 24 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 12 EndFraction
Option C
D
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option D

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