AnswersNC-Math 2 Fall 2nd 9 WeeksRational Exponents

Adding and Subtracting Radicals Answers

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What is the simplified form of the following expression?

Question illustration
A
Negative 5 (RootIndex 3 StartRoot 2 x EndRoot)
Option A
B
5 (RootIndex 3 StartRoot x EndRoot)
Option B
C
RootIndex 3 StartRoot 2 x EndRoot minus 6 (RootIndex 3 StartRoot x EndRoot)
Option C
D
Negative (RootIndex 3 StartRoot 2 x EndRoot) minus 6 (RootIndex 3 StartRoot x EndRoot)
Option D
2
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What is the simplified form of the following expression? Assume and

Question illustration
A
7 a c (RootIndex 4 StartRoot a b squared EndRoot)
Option A
B
7 (RootIndex 4 StartRoot a b squared EndRoot)
Option B
C
Negative 7 (RootIndex 4 StartRoot a b squared EndRoot)
Option C
D
Negative 7 a c (RootIndex 4 StartRoot a b squared EndRoot)
Option D
3

What is the following difference?

Question illustration
A
7 StartRoot 40 EndRoot
Option A
B
14 StartRoot 10 EndRoot
Option B
C
29 StartRoot 5 EndRoot
Option C
D
95 StartRoot 5 EndRoot
Option D
4

What is the following sum?

Question illustration
A
6 StartRoot 10 EndRoot
Option A
B
8 StartRoot 10 EndRoot
Option B
C
6 StartRoot 5 EndRoot
Option C
D
8 StartRoot 5 EndRoot
Option D
5

What is the following difference?

Question illustration
A
Negative 3 a b (RootIndex 3 StartRoot 3 a b squared EndRoot)
Option A
B
16 a b squared (RootIndex 3 StartRoot 3 a EndRoot) minus 45 a squared b squared (RootIndex 3 StartRoot 3 b EndRoot)
Option B
C
Negative 7 a b (RootIndex 3 StartRoot 3 a b squared EndRoot)
Option C
D
8 a b (RootIndex 3 StartRoot 3 a b squared EndRoot) minus 15 a b squared (RootIndex 3 StartRoot 3 a b EndRoot)
Option D
6

What is the following sum?

Question illustration
A
7 (RootIndex 10 StartRoot x squared y EndRoot)
Option A
B
7 (RootIndex 10 StartRoot x Superscript 4 Baseline y squared EndRoot)
Option B
C
7 (RootIndex 5 StartRoot x squared y EndRoot)
Option C
D
7 (RootIndex 5 StartRoot x Superscript 4 Baseline y squared EndRoot)
Option D
7

Which of the following is a like radical to ?

Question illustration
A
4 (RootIndex 3 StartRoot 7 x EndRoot)
Option A
B
StartRoot 7 x EndRoot
Option B
C
x (RootIndex 3 StartRoot 7 EndRoot)
Option C
D
7 StartRoot x EndRoot
Option D
8

Which of the following is a like radical to ?

Question illustration
A
x (RootIndex 3 StartRoot 6 x EndRoot)
Option A
B
6 (RootIndex 3 StartRoot x squared EndRoot)
Option B
C
4 (RootIndex 3 StartRoot 6 x squared EndRoot)
Option C
D
x (RootIndex 3 StartRoot 6 EndRoot)
Option D
9

What is the following sum?

Question illustration
A
14 (RootIndex 6 StartRoot x EndRoot)
Option A
B
14 (RootIndex 6 StartRoot x squared EndRoot)
Option B
C
14 RootIndex 3 StartRoot x EndRoot)
Option C
D
14 (RootIndex 3 StartRoot x squared EndRoot)
Option D
10

What is the following sum in simplest form?

Question illustration
A
3 StartRoot 8 EndRoot + 3 StartRoot 2 EndRoot
Option A
B
5 StartRoot 42 EndRoot
Option B
C
9 StartRoot 2 EndRoot
Option C
D
5 StartRoot 2 EndRoot + StartRoot 32 EndRoot
Option D

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