Simplifying Nonperfect Roots Answers
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Describe the error Sadie made, and explain how to find the correct answer.
Answer:
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.
A
Sadie did not factor a to the 7th power using the largest perfect power.B
Instead of a squared times a to the 5th power, the factors should be a to the 6th times a to the 1st power.C
In Sadie’s final answer, the exponent on a should have been 3.Did you find these answers helpful?
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