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Adding and Subtracting Radicals — Quiz Answers

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What is the following sum? 5 times open paren cube root of x close paren plus 9 times open paren cube root of x close paren

A
14 times open paren cube root of x squared close paren
B
14 times open paren cube root of x close paren
C
14 times open paren 6th root of x close paren
D
14 times open paren 6th root of x squared close paren
2
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What is the following difference? 11 square root of 45 minus 4 square root of 5

A
95 square root of 5
B
7 square root of 40
C
29 square root of 5
D
14 square root of 10
3

Which of the following is a like radical to 3 x square root of 5 ?

A
x times open paren cube root of 5 close paren
B
y square root of 5
C
square root of 5 y
D
3 times open paren cube root of 5 x close paren
4

Which of the following is a like radical to cube root of 7 x ?

A
4 times open paren cube root of 7 x close paren
B
square root of 7 x
C
7 square root of x
D
x times open paren cube root of 7 close paren
5

What is the following sum? Assume x is greater than or equal to 0 and y is greater than or equal to 0 square root of x squared y cubed end root plus 2 square root of x cubed y to the 4th power end root plus x y square root of y

A
4 x y square root of x to the 5th power y to the 8th power end root
B
2 x y square root of y plus 2 x y squared square root of x
C
2 x y square root of x y
D
x squared y squared square root of y minus 2 x y squared square root of x
6

Which of the following is a like radical to cube root of 6 x squared ?

A
6 times open paren cube root of x squared close paren
B
x times open paren cube root of 6 x close paren
C
x times open paren cube root of 6 close paren
D
4 times open paren cube root of 6 x squared close paren
7

What is the following sum? cube root of 125 x to the 10th power y to the 13th power plus cube root of 27 x to the 10th power y to the 13th power

A
8 x to the 6th power y to the 8th power open paren cube root of x y close paren
B
15 x cubed y to the 4th power open paren cube root of x y close paren
C
15 x to the 6th power y to the 8th power open paren cube root of x y close paren
D
8 x cubed y to the 4th power open paren cube root of x y close paren
8

What is the following sum? 4 square root of 5 plus 2 square root of 5

A
6 square root of 10
B
8 square root of 10
C
6 square root of 5
D
8 square root of 5
9

What is the following sum in simplest form? square root of 8 plus 3 square root of 2 plus square root of 32

A
9 square root of 2
B
5 square root of 2 plus square root of 32
C
5 square root of 42
D
3 square root of 8 plus 3 square root of 2
10

What is the following sum? 4 times open paren 5th root of x squared y close paren plus 3 times open paren 5th root of x squared y close paren

A
7 times open paren 10th root of x to the 4th power y squared close paren
B
7 times open paren 5th root of x squared y close paren
C
7 times open paren 10th root of x squared y close paren
D
7 times open paren 5th root of x to the 4th power y squared close paren

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