AnswersFL-1200330-Algebra 2 CRMultiplying Radicals

Dividing Radicals Answers

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1
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What is the following quotient?

Question illustration
A
StartFraction 5 StartRoot 11 EndRoot minus 5 StartRoot 3 EndRoot Over 8 EndFraction
Option A
B
StartFraction 5 StartRoot 11 EndRoot + 5 StartRoot 3 EndRoot Over 8 EndFraction
Option B
C
Five-eighths
Option C
D
StartFraction 5 StartRoot 2 EndRoot Over 4 EndFraction
Option D
2
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Which expression is equivalent to ?

Question illustration
A
One-fourth
Option A
B
RootIndex 6 StartRoot 2 EndRoot
Option B
C
StartRoot 2 EndRoot
Option C
D
StartFraction StartRoot 2 EndRoot Over 2 EndFraction
Option D
3

What is the following quotient?

Question illustration
A
2
B
4
C
2 StartRoot 10 EndRoot
Option C
D
3 StartRoot 10 EndRoot
Option D
4

What is the following quotient?

Question illustration
A
StartFraction 12 StartRoot 2 EndRoot minus 6 StartRoot 3 EndRoot Over 5 EndFraction
Option A
B
StartFraction 3 StartRoot 6 EndRoot minus 4 StartRoot 3 EndRoot Over 24 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 12 EndFraction
Option C
D
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option D
5

What is the following quotient?

Question illustration
A
StartRoot 13 EndRoot minus 2 StartRoot 11 EndRoot
Option A
B
StartFraction StartRoot 13 EndRoot + StartRoot 11 EndRoot Over 6 EndFraction
Option B
C
StartFraction StartRoot 13 EndRoot + STartRoot 11 EndRoot Over 12 EndFraction
Option C
D
StartRoot 13 EndRoot minus StartRoot 11 EndRoot
Option D
6

What is the following quotient?

Question illustration
A
StartFraction StartRoot 3 EndRoot minus StartRoot 6 EndRoot Over 4 EndFraction
Option A
B
StartFraction 2 + StartRoot 3 EndRoot minus 2 StartRoot 2 EndRoot minus StartRoot 6 EndRoot Over 4 EndFraction
Option B
C
2 minus StartRoot 3 EndRoot minus 2 StartRoot 2 EndRoot + StartRoot 6 EndRoot
Option C
D
StartFraction negative 2 minus StartRoot 3 EndRoot + 2 StartRoot 2 EndRoot + StartRoot 6 EndRoot Over 2 EndFraction
Option D
7

What is the simplified form of the following expression? Assume

Question illustration
A
StartFraction RootIndex 4 StartRoot 6 x EndRoot Over 2 x EndFraction
Option A
B
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 2 x EndFraction
Option B
C
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 16 x Superscript 4 Baseline EndFraction
Option C
D
RootIndex 4 StartRoot 12 x squared EndRoot
Option D
8

If x is a positive integer, for how many different values of x is a whole number?

Question illustration
A
2
B
3 ✓ Correct
C
6
D
10
9

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?

Question illustration
A
2 StartRoot 15 pi EndRoot
Option A
B
4 StartRoot 5 pi EndRoot
Option B
C
StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction
Option C
D
StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction
Option D
10

To rationalize the denominator of , you should multiply the expression by which fraction?

Question illustration
A
StartFraction StartRoot 10 EndRoot Over StartRoot 10 EndRoot EndFraction
Option A
B
StartFraction StartRoot 11 EndRoot Over StartRoot 11 EndRoot EndFraction
Option B
C
StartFraction 2 minus StartRoot 10 EndRoot Over 2 minus StartRoot 10 EndRoot EndFraction
Option C
D
StartFraction 3 minus StartRoot 11 EndRoot Over 3 minus StartRoot 11 EndRoot EndFraction
Option D
11

What is the following quotient?

Question illustration
A
StartFraction StartRoot 30 EndRoot + 3 StartRoot 2 EndRoot + StartRoot 55 EndRoot + StartRoot 33 EndRoot Over 8 EndFraction
Option A
B
StartFraction StartRoot 30 EndRoot minus 3 StartRoot 2 EndRoot + StartRoot 55 EndRoot minus StartRoot 33 EndRoot Over 2 EndFraction
Option B
C
Seventeen-eighths
Option C
D
Negative five-halves
Option D
12

What is the following quotient?

Question illustration
A
StartFraction 5 StartRoot 11 EndRoot minus 5 StartRoot 3 EndRoot Over 8 EndFraction
Option A
B
StartFraction 5 StartRoot 11 EndRoot + 5 StartRoot 3 EndRoot Over 8 EndFraction
Option B
C
Five-eighths
Option C
D
StartFraction 5 StartRoot 2 EndRoot Over 4 EndFraction
Option D
13

What is the simplified form of the following expression? Assume

Question illustration
A
StartFraction RootIndex 4 StartRoot 6 x EndRoot Over 2 x EndFraction
Option A
B
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 2 x EndFraction
Option B
C
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 16 x Superscript 4 Baseline EndFraction
Option C
D
RootIndex 4 StartRoot 12 x squared EndRoot
Option D
14

What is the following quotient?

Question illustration
A
RootIndex 3 StartRoot 3 EndRoot
Option A
B
3
C
2 (RootIndex 3 StartRoot 5 EndRoot)
Option C
D
40
15

To rationalize the denominator of , you should multiply the expression by which fraction?

Question illustration
A
StartFraction StartRoot 10 EndRoot Over StartRoot 10 EndRoot EndFraction
Option A
B
StartFraction StartRoot 11 EndRoot Over StartRoot 11 EndRoot EndFraction
Option B
C
StartFraction 2 minus StartRoot 10 EndRoot Over 2 minus StartRoot 10 EndRoot EndFraction
Option C
D
StartFraction 3 minus StartRoot 11 EndRoot Over 3 minus StartRoot 11 EndRoot EndFraction
Option D
16

Multiplying by which fraction will produce an equivalent fraction with a rational denominator?

Question illustration
A
Option
B
✓ Correct
C
Option
D
Option
17

Which expression is equivalent to ?

Question illustration
A
One-fourth
Option A
B
RootIndex 6 StartRoot 2 EndRoot
Option B
C
StartRoot 2 EndRoot
Option C
D
StartFraction StartRoot 2 EndRoot Over 2 EndFraction
Option D
18

What is the following quotient?

Question illustration
A
StartFraction 12 StartRoot 2 EndRoot minus 6 StartRoot 3 EndRoot Over 5 EndFraction
Option A
B
StartFraction 3 StartRoot 6 EndRoot minus 4 StartRoot 3 EndRoot Over 24 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 12 EndFraction
Option C
D
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option D
19

What is the following quotient?

Question illustration
A
2 StartRoot 3 EndRoot
Option A
B
4
C
2 StartRoot 22 EndRoot
Option C
D
12
20

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?

Question illustration
A
2 StartRoot 15 pi EndRoot
Option A
B
4 StartRoot 5 pi EndRoot
Option B
C
StartFraction 2 StartRoot 15 pi EndRoot Over pi EndFraction
Option C
D
StartFraction 4 StartRoot 5 pi EndRoot Over pi EndFraction
Option D

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