operations with radicals multiple choice questions, algebra homework help

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operations with radicals multiple choice questions, algebra homework help

Write the radical expression in simplest radical form.

square root of 200

A.

100

B.

10 square root of 2

C.

50 square root of 2

D.

25 square root of 2

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Write the radical expression in simplest radical form.

cube root of 16 y to the power of 6 end root

A.

8 y space 3 root of 2 y cubed end root

B.

2 y space 3 root of 2 y cubed end root

C.

2 y squared space cube root of 2

D.

2 y space square root of 2

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Write the radical expression in simplest radical form.

2 space 3 root of 32 m to the power of 5 n to the power of 7 end root

A. 4 m n squared space 3 root of 4 m squared n end root
B. 8 m n squared space 3 root of 2 m squared n end root
C. 2 m cubed n to the power of 6 space 3 root of 4 m squared n end root
D. 4 m cubed n to the power of 6 space 3 root of 4 m squared n end root

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Write the radical expression in simplest form.

3 root of 3 over 4 end root

A.

3 root of 3 over 4 end root

B.

fraction numerator 3 root of 12 over denominator 4 end fraction

C.

fraction numerator 3 root of 6 over denominator 2 end fraction

D.

fraction numerator 3 root of 48 over denominator 4 end fraction

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Write the radical expression in simplest radical form.

square root of fraction numerator 4 r to the power of 8 over denominator t to the power of 9 end fraction end root

A.

fraction numerator 2 r to the power of 4 over denominator t to the power of 4 space square root of t end fraction

B.

fraction numerator 2 r to the power of 4 space square root of t over denominator t to the power of 5 end fraction

C.

fraction numerator 2 r to the power of 4 t to the power of 4 space square root of t over denominator t to the power of 9 end fraction

D.

fraction numerator 2 r squared space square root of t to the power of 9 end root over denominator t to the power of 9 end fraction

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Multiply the radical expressions and write in simplest radical form.

left parenthesis 2 square root of 32 right parenthesis left parenthesis minus 3 square root of 20 right parenthesis

A.

minus 48 square root of 10

B.

minus 384 square root of 10

C.

minus 6 square root of 640

D.

minus 480

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Simplify the expression.

square root of 12 space plus thin space square root of 75 space minus space square root of 27

A.

20 square root of 3

B.

4 square root of 3

C.

square root of 60

D.

2 square root of 15

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Simplify the expression and write in simplest radical form.

left parenthesis square root of 11 space minus space square root of 2 right parenthesis squared

A. 9
B. 9 space minus space square root of 22
C. 13 space minus space square root of 22
D. 13 space minus space 2 square root of 22

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Simplify the expression and write in simplest radical form.

left parenthesis 3 thin space plus space square root of 7 right parenthesis left parenthesis 2 space plus thin space square root of 6 right parenthesis

A. 6 space plus space 10 square root of 6 space plus space 8 square root of 7
B. 6 space plus space 18 square root of 13
C. 36 space plus space 2 square root of 13
D. 6 space plus space 3 square root of 6 space plus thin space 2 square root of 7 space plus space square root of 42

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Rationalize the denominator and write in simplest radical form.

fraction numerator square root of 6 over denominator 5 space plus space square root of 3 end fraction

A. fraction numerator 5 square root of 6 space minus space square root of 18 over denominator 22 end fraction
B. fraction numerator 5 square root of 6 space minus space 3 square root of 2 over denominator 22 end fraction
C. fraction numerator 5 square root of 6 space plus space square root of 18 over denominator 25 end fraction
D. fraction numerator 5 square root of 6 space plus space 3 square root of 2 over denominator 25 end fraction

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