AnswersAlgebra 2 with ProbabilitySimplifying Nonperfect Roots

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Which expression is equivalent to square root of 120 x ?

A
2 square root of 30
B
60 square root of 2 x
C
4 square root of 30 x
D
2 square root of 30 x
2
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What values of A and b make the equation true? square root of 648 is equal to square root of 2 to the A th power times 3 to the b th power end root

A
A is equal to 4 , b is equal to 3
B
A is equal to 3 , b is equal to 4
C
A is equal to 3 , b is equal to 2
D
A is equal to 2 , b is equal to 3
3

Which expression is equivalent to square root of the fraction with numerator 2 x to the 5th power and denominator 18 end root ? Assume x is greater than or equal to 0

A
the fraction with numerator square root of x and denominator 3 x squared
B
the fraction with numerator x squared square root of x and denominator 3
C
the fraction with numerator 2 x square root of x and denominator 3
D
the fraction with numerator 3 square root of x and denominator x squared
4

Which expression is equivalent to square root of 200 ?

A
10 square root of 20
B
10 square root of 2
C
2 square root of 10
D
100 square root of 2
5

Which expression is equivalent to square root of 128 x to the 8th power y cubed z to the 9th power end root ? Assume y is greater than or equal to 0 and z is greater than or equal to 0

A
2 x squared z squared square root of 8 y cubed z end root
B
64 x to the 4th power y z to the 4th power square root of 2 y z end root
C
8 x to the 4th power y z to the 4th power square root of 2 y z end root
D
4 x squared y z cubed square root of 2 x squared end root
6

Which expression is equivalent to cube root of 256 x to the 10th power y to the 7th power ?

A
4 x squared y to the th power open paren cube root of x squared y cubed close paren
B
16 x cubed y squared open paren cube root of x y close paren
C
16 x to the 5th power y cubed open paren cube root of y close paren
D
4 x cubed y squared open paren cube root of 4 x y close paren
7

Which expression is equivalent to cube root of 64 A to the 6th power b to the 7th power c to the 9th power ?

A
8 A cubed b cubed c to the 4th power open paren cube root of b c close paren
B
4 A squared b squared c cubed open paren cube root of b close paren
C
8 A squared b squared c cubed open paren cube root of b close paren
D
2 A b c squared open paren cube root of 4 A squared b cubed c close paren
8

What is the simplest form of cube root of 27 A cubed b to the 7th power ?

A
3 A b cubed open paren cube root of A b close paren
B
9 A b squared open paren cube root of b close paren
C
9 A b cubed open paren cube root of 3 A b close paren
D
3 A b squared open paren cube root of b close paren
9

Which expression is equivalent to 4th root of x to the 10th power ?

A
x cubed times open paren 4th root of x close paren
B
x squared times open paren 4th root of x squared close paren
C
x to the 5th power
D
x raised to the 2 point 2 power
10

What values of c and d make the equation true? cube root of 162 x to the c th power y to the 5th power is equal to 3 x squared y open paren cube root of 6 y to the d th power close paren

A
c is equal to 6 , d is equal to 2
B
c is equal to 2 , d is equal to 4
C
c is equal to 2 , d is equal to 2
D
c is equal to 6 , d is equal to 4

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