Simplify the 5th root of an expression using a factor tree and product prop

Simplify the 5th root of an expression using a factor tree and product prop

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the 5th root of 64Y^10. It begins by introducing the concept of the 5th root and proceeds to create a factor tree for 64 to find its prime factorization. The tutorial then simplifies Y^10 by expressing it in terms of Y^2. The instructor demonstrates how to calculate the 5th root by grouping factors and concludes with the final answer, 2Y^2 times the 5th root of 2.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What do you need to keep when taking the 5th root of the expression involving 2?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer when combining the results of the 5th root calculation?

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