AnswersDHS Algebra 2 VAdding and Subtracting Radicals

Adding and Subtracting Radicals Answers

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1
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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
2
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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
3

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
4

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
5

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
6

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
7

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
8

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
9

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
10

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
11

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
12

What is the simplified form of the following expression? Assume and

Question illustration
A
5 (RootIndex 4 StartRoot x EndRoot) minus 4 (RootIndex 4 StartRoot 32 y EndRoot)
Option A
B
5 (RootIndex 4 StartRoot x EndRoot) minus 6 (RootIndex 4 StartRoot 2 y EndRoot)
Option B
C
13 (RootIndex 4 StartRoot x EndRoot) minus 10 (RootIndex 4 StartRoot 2 y EndRoot)
Option C
D
35 (RootIndex 4 StartRoot x EndRoot) minus 18 (RootIndex 4 StartRoot 2 y EndRoot)
Option D
13

What is the following sum? Assume and

Question illustration
A
x squared y squared StartRoot y EndRoot minus 2 x y squared StartRoot x EndRoot
Option A
B
2 x y StartRoot y EndRoot + 2 x y squared StartRoot x EndRoot
Option B
C
4 x y StartRoot x Superscript 5 Baseline y Superscript 8 Baseline EndRoot
Option C
D
2 x y StartRoot x y EndRoot
Option D
14

The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?

Question illustration
A
m
Option A
B
m
Option B
C
m
Option C
D
m
Option D
15

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
16

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
17

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
18

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
19

The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?

Question illustration
A
m
Option A
B
m
Option B
C
m
Option C
D
m
Option D
20

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

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