AnswersGeometry with StatisticsRewriting Expressions with Radicals

Rewriting Expressions with Radicals — Quiz Answers

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1
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What is the square root of A b squared ?

A
b squared
B
b square root of A
C
A squared b squared
D
A b
2
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Eliot is simplifying a radical. Eliot's Work square root of 64 is equal to square root of 4 times 16 end root square root of 4 times 16 end root is equal to 2 square root of 16 square root of 64 is equal to 2 square root of 16 Which statement best applies to Eliot’s mathematical work?

A
The work shown by Eliot is correct, and 2 square root of 16 may not be simplified further.
B
Removing the 4 from under the radical in the second step is incorrect or invalid.
C
The work shown by Eliot is correct; however, 2 square root of 16 may be simplified further.
D
The equality square root of 64 is equal to square root of 4 times 16 end root is incorrect or invalid.
3

Combine these radicals. square root of 27 minus square root of 3

A
2 square root of 3
B
negative 3 square root of 2
C
negative 2 square root of 3
D
square root of 24
4

Combine these radicals. negative 3 square root of 81 plus square root of 16

A
negative 23
B
negative 3 square root of 13
C
negative 11
D
negative 3 square root of 97
5

Combine these radicals. negative 6 square root of 100 plus square root of 36

A
negative 66
B
negative 54
C
negative 6 square root of 16
D
negative 6 square root of 136
6

Rewrite this radicand as two factors, one of which is a perfect square. square root of 60

A
square root of 10 times 6 end root
B
square root of 20 times 3 end root
C
square root of 12 times 5 end root
D
square root of 4 times 15 end root
7

Simplify this radical. square root of x to the 13th power end root

A
6 x square root of x
B
13 square root of x
C
x square root of x to the 12th power end root
D
x to the 6th power square root of x
8

Combine and simplify these radicals. square root of 3 times square root of 16

A
3 square root of 16
B
16 square root of 3
C
3 square root of 4
D
4 square root of 3
9

Simplify this radical. square root of 84

A
4 square root of 42
B
4 square root of 21
C
2 square root of 42
D
2 square root of 21
10

Combine these radicals. 3 square root of 2 minus 5 square root of 2

A
negative 2
B
0
C
negative 2 square root of 2
D
negative 3 square root of 2

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Rewriting Expressions with Radicals — Quiz…