AnswersFL-1200330-Algebra 2 CRMultiplying Radicals

Dividing Radicals Answers

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21
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What is the following quotient?

Question illustration
A
2 StartRoot 3 EndRoot
Option A
B
4
C
2 StartRoot 22 EndRoot
Option C
D
12
22
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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
23

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
24

What is the following quotient?

Question illustration
A
2
B
4
C
2 StartRoot 10 EndRoot
Option C
D
3 StartRoot 10 EndRoot
Option D
25

What is the following quotient?

Question illustration
A
StartFraction StartRoot 3 EndRoot minus StartRoot 6 EndRoot Over 4 EndFraction
Option A
B
StartFraction 2 + StartRoot 3 EndRoot minus 2 StartRoot 2 EndRoot minus StartRoot 6 EndRoot Over 4 EndFraction
Option B
C
2 minus StartRoot 3 EndRoot minus 2 StartRoot 2 EndRoot + StartRoot 6 EndRoot
Option C
D
StartFraction negative 2 minus StartRoot 3 EndRoot + 2 StartRoot 2 EndRoot + StartRoot 6 EndRoot Over 2 EndFraction
Option D
26

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
27

What is the following quotient?

Question illustration
A
StartRoot 13 EndRoot minus 2 StartRoot 11 EndRoot
Option A
B
StartFraction StartRoot 13 EndRoot + StartRoot 11 EndRoot Over 6 EndFraction
Option B
C
StartFraction StartRoot 13 EndRoot + STartRoot 11 EndRoot Over 12 EndFraction
Option C
D
StartRoot 13 EndRoot minus StartRoot 11 EndRoot
Option D
28

If x is a positive integer, for how many different values of x is a whole number?

Question illustration
A
2
B
3
C
6
D
10
29

To rationalize the denominator of , you should multiply the expression by which fraction?

Question illustration
A
StartFraction 5 + StartRoot 7 EndRoot Over 9 minus StartRoot 14 EndRoot EndFraction
Option A
B
StartFraction 9 minus StartRoot 14 EndRoot Over 9 minus StartRoot 14 EndRoot EndFraction
Option B
C
StartFraction 9 + StartRoot 14 EndRoot Over 9 + StartRoot 14 EndRoot EndFraction
Option C
D
StartFraction StartRoot 14 EndRoot Over StartRoot 14 EndRoot EndFraction
Option D
30

To rationalize the denominator of , you should multiply the expression by which fraction?

Question illustration
A
StartFraction 5 + StartRoot 7 EndRoot Over 9 minus StartRoot 14 EndRoot EndFraction
Option A
B
StartFraction 9 minus StartRoot 14 EndRoot Over 9 minus StartRoot 14 EndRoot EndFraction
Option B
C
StartFraction 9 + StartRoot 14 EndRoot Over 9 + StartRoot 14 EndRoot EndFraction
Option C
D
StartFraction StartRoot 14 EndRoot Over StartRoot 14 EndRoot EndFraction
Option D

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