Simplifying Nonperfect Roots

Question 1

Which expression is equivalent to

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Answer image: //media.edgenuity.com/EVresources/3111-09-03-20-01-task/mc001-3.jpg

Question 2

The simplest form of StartRoot 80 EndRoot [image 1] can be written as a StartRoot b EndRoot [image 2], where a = [___] and b = [___].

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4; 5

Question 3

The value of RootIndex 3 StartRoot x Superscript 10 Baseline EndRoot, when x = negative 2, can be written in simplest form as a RootIndex 3 Start Root b EndRoot, where [image 1] a = [___] and b = [___].

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Part 1: -8; Part 2: -2; 8, 2

Question 4

Question 4

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Answer image: //media.edgenuity.com/EVresources/3111-09-03-20-02-task/mc001-4.jpg

Question 5

What is the simplest form of ?

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Answer image: //media.edgenuity.com/EVresources/3111-09-03-20-03-task/mc001-3.jpg

Question 6

c =

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4

Question 7

The prime factorization of 324 can be written as 2a • 3b, where a = and b = Find the value of the exponent c that makes the second expression equivalent to the first expression where x ≥ 0 and y ≥ 0.

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2; 4

Question 8

a = [___] and b = [___]

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"16"; "2"; 16 and 2

Question 9

Describe the error Sadie made, and explain how to find the correct answer.

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Sadie did not factor a⁷ using the largest perfect-square power: it should be a⁶·a, not a²·a⁵. Taking the square root of a⁶ gives a³, so the correct simplification is 3a³b√(6ab).

Question 10

Which expression represents the side length of the foundation, in feet?

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Answer image: //media.edgenuity.com/EVresources/3111-09-03-20-06-task/mc001-1.jpg

Simplifying Nonperfect Roots Answers

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