Find the principal fifth root of 32. a. 2 c. 4 b. 5 d. 6

Question

Mathematics

Carleen

14 August, 01:14

Find the principal fifth root of 32. a. 2 c. 4 b. 5 d. 6

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Answers (1)

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Reina Mcconnell · Answer 1

The fifth root of 32 is 2.

You can find this by factoring out one root at a time until you have 5 of the same. So we start with 32 and we factor out a 2.

32

2 * 16

Then we can do the same with the 16.

2 * 16

2 * 2 * 8

And continue the process until we have only 2s

2 * 2 * 8

2 * 2 * 2 * 4

2 * 2 * 2 * 2 * 2

Since there are 5 of them, it is the 5th root of 32.