AnswersAG Q1 Keystone Algebra 1 Block 26-27 DDiamondSimplifying Nonperfect Roots

Simplifying Nonperfect Roots Answers

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Which expression is equivalent to ?

Question illustration
A
x squared (RootIndex 4 StartRoot x squared EndRoot)
Option A
B
x2.2
C
x cubed (RootIndex 4 StartRoot x EndRoot)
Option C
D
x5
2
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Which expression is equivalent to ?

Question illustration
A
2 StartRoot 10 EndRoot
Option A
B
10 StartRoot 2 EndRoot
Option B
C
10 StartRoot 20 EndRoot
Option C
D
100 StartRoot 2 EndRoot
Option D
3

Which expression is equivalent to ? Assume and y 0.

Question illustration
A
StartFraction RootIndex 4 StartRoot 3 EndRoot Over 2 x squared y EndFraction
Option A
B
StartFraction x (RootIndex 4 StartRoot 3 EndRoot) Over 4 y squared EndFraction
Option B
C
StartFraction RootIndex 4 StartRoot 3 EndRoot Over 4 x y squared EndFraction
Option C
D
StartFraction RootIndex 4 StartRoot 3 x squared EndRoot Over 2 y EndFraction
Option D
4

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction x squared StartRoot x EndRoot Over 3 EndFraction
Option A
B
StartFraction 3 StartRoot x EndRoot Over x squared EndFraction
Option B
C
StartFraction StartRoot x EndRoot Over 3 x squared EndFraction
Option C
D
StartFraction 2 x StartRoot x EndRoot Over 3 EndFraction
Option D
5

Which expression is equivalent to ?

Question illustration
A
4 x squared y (RootIndex 3 StartRoot x squared y cubed EndRoot)
Option A
B
4 x cubed y squared (RootIndex 3 StartRoot 4 x y EndRoot)
Option B
C
16 x cubed y squared (RootIndex 3 StartRoot x y EndRoot)
Option C
D
16 x Superscript 5 Baseline y cubed (RootIndex 3 StartRoot y EndRoot)
Option D
6

Which expression is equivalent to ? Assume x > 0 and y 0.

Question illustration
A
StartFraction x squared StartRoot 5 EndRoot Over y EndFraction
Option A
B
StartFraction y StartRoot 5 EndRoot Over x squared EndFraction
Option B
C
StartFraction StartRoot 5 EndRoot Over x squared y EndFraction
Option C
D
StartFraction x StartRoot 5 EndRoot Over y EndFraction
Option D
7

Which expression is equivalent to ?

Question illustration
A
2 a b c squared (RootIndex 3 StartRoot 4 a squared b cubed c EndRoot)
Option A
B
4 a squared b squared c cubed (RootIndex 3 StartRoot b EndRoot)
Option B
C
8 a cubed b cubed c Superscript 4 Baseline (RootIndex 3 StartRoot b c EndRoot)
Option C
D
8 a squared b squared c cubed (RootIndex 3 StartRoot b EndRoot)
Option D
8

Which expression is equivalent to ? Assume and

Question illustration
A
2 x squared z squared StartRoot 8 y cubed z EndRoot
Option A
B
4 x squared y z cubed StartRoot 2 x squared EndRoot
Option B
C
8 x Superscript 4 Baseline y z Superscript 4 Baseline StartRoot 2 y z EndRoot
Option C
D
64 x Superscript 4 Baseline y z Superscript 4 Baseline StartRoot 2 y z EndRoot
Option D
9

What is the simplest form of ?

Question illustration
A
3 a b squared (RootIndex 3 StartRoot b EndRoot)
Option A
B
3 a b cubed (RootIndex 3 StartRoot 3 a b EndRoot)
Option B
C
9 a b squared (RootIndex 3 StartRoot b EndRoot)
Option C
D
9 a b cubed (RootIndex 3 StartRoot 3 a b EndRoot)
Option D
10

Which expression is equivalent to ? Assume .

Question illustration
A
StartFraction RootIndex 3 StartRoot 10 x EndRoot Over 3 x squared EndFraction
Option A
B
StartFraction x (RootIndex 3 StartRoot 5 x EndRoot) Over 3 EndFraction
Option B
C
StartFraction 3 (RootIndex 3 StartRoot 5 x EndRoot) Over x EndFraction
Option C
D
StartFraction RootIndex 3 StartRoot 5 EndRoot Over 3 x EndFraction
Option D

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