Dividing Radicals Answers
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1
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What is the following quotient?
A
StartRoot 13 EndRoot minus 2 StartRoot 11 EndRoot
B
StartFraction StartRoot 13 EndRoot + StartRoot 11 EndRoot Over 6 EndFraction
C
StartFraction StartRoot 13 EndRoot + STartRoot 11 EndRoot Over 12 EndFraction
D
StartRoot 13 EndRoot minus StartRoot 11 EndRoot
2
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Multiplying by which fraction will produce an equivalent fraction with a rational denominator?
A
StartFraction StartRoot 17 EndRoot minus StartRoot 2 EndRoot Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction
B
StartFraction StartRoot 17 EndRoot + StartRoot 2 EndRoot Over StartRoot 17 EndRoot + StartRoot 2 EndRoot EndFraction
C
StartFraction StartRoot 2 EndRoot minus StartRoot 17 EndRoot Over StartRoot 2 EndRoot minus StartRoot 17 EndRoot EndFraction
D
StartFraction StartRoot 15 EndRoot Over StartRoot 15 EndRoot EndFraction
3
Which expression is equivalent to ?
A
One-fourth
B
RootIndex 6 StartRoot 2 EndRoot
C
StartRoot 2 EndRoot
D
StartFraction StartRoot 2 EndRoot Over 2 EndFraction
4
To rationalize the denominator of , you should multiply the expression by which fraction?
A
StartFraction StartRoot 10 EndRoot Over StartRoot 10 EndRoot EndFraction
B
StartFraction StartRoot 11 EndRoot Over StartRoot 11 EndRoot EndFraction
C
StartFraction 2 minus StartRoot 10 EndRoot Over 2 minus StartRoot 10 EndRoot EndFraction
D
StartFraction 3 minus StartRoot 11 EndRoot Over 3 minus StartRoot 11 EndRoot EndFraction
5
What is the simplified form of the following expression? Assume
A
StartFraction RootIndex 4 StartRoot 6 x EndRoot Over 2 x EndFraction
B
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 2 x EndFraction
C
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 16 x Superscript 4 Baseline EndFraction
D
RootIndex 4 StartRoot 12 x squared EndRoot
6
What is the following quotient?
A
StartFraction 12 StartRoot 2 EndRoot minus 6 StartRoot 3 EndRoot Over 5 EndFraction
B
StartFraction 3 StartRoot 6 EndRoot minus 4 StartRoot 3 EndRoot Over 24 EndFraction
C
StartFraction StartRoot 3 EndRoot Over 12 EndFraction
D
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
7
What is the following quotient?
A
RootIndex 3 StartRoot 3 EndRoot
B
3C
2 (RootIndex 3 StartRoot 5 EndRoot)
D
408
To rationalize the denominator of , you should multiply the expression by which fraction?
A
StartFraction 5 + StartRoot 7 EndRoot Over 9 minus StartRoot 14 EndRoot EndFraction
B
StartFraction 9 minus StartRoot 14 EndRoot Over 9 minus StartRoot 14 EndRoot EndFraction
C
StartFraction 9 + StartRoot 14 EndRoot Over 9 + StartRoot 14 EndRoot EndFraction
D
StartFraction StartRoot 14 EndRoot Over StartRoot 14 EndRoot EndFraction
9
What is the following quotient?
A
StartFraction 5 StartRoot 11 EndRoot minus 5 StartRoot 3 EndRoot Over 8 EndFraction
B
StartFraction 5 StartRoot 11 EndRoot + 5 StartRoot 3 EndRoot Over 8 EndFraction
C
Five-eighths
D
StartFraction 5 StartRoot 2 EndRoot Over 4 EndFraction
10
The radius of a circle with an area of 60 square centimeters is represented by the expression centimeters. What is another way of expressing the radius?
A
2 StartRoot 15 pi EndRoot
B
4 StartRoot 5 pi EndRoot
C
StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction
D
StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction
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