Radical Equations and Extraneous Roots Answers
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1
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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
2
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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
3
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
4
What is the simplified form of the following expression? Assume .
A
StartFraction 2 (RootIndex 3 StartRoot 6 x squared y squared EndRoot) Over y EndFraction
B
StartFraction RootIndex 3 StartRoot 12 x squared y EndRoot Over 2 y EndFraction
C
StartFraction x (RootIndex 3 StartRoot 3 y EndRoot) Over 2 y EndFraction
D
StartFraction RootIndex 3 StartRoot 6 x squared y squared EndRoot Over 2 y EndFraction
5
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
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
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