AnswersFL-1200700-Mathematics for College Algebra MISSimplifying Nonperfect Roots

Simplifying Nonperfect Roots Answers

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Which expression is equivalent to

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Blank 1:4
Blank 2:5
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5

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Blank 1:8, 2
Blank 2:8, 2
19

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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Blank 1:2
Blank 2:4
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4

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c =

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4

26

What is the simplest form of ?

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Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. a = and b =

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Blank 1:16 and 2
Blank 2:16 and 2
35

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).

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Check each item below that you included in your response.

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Sadie did not factor a to the 7th power using the largest perfect power.
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Instead of a squared times a to the 5th power, the factors should be a to the 6th times a to the 1st power.
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In Sadie’s final answer, the exponent on a should have been 3.
37

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

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What is the simplest form of the expression for the side length, in feet?

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