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What is the simplest form of 3 sqrt 81x^10.
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29 votes
29 votes
What is the simplest form of 3 sqrt 81x^10.

User Metaforge
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1 Answer

13 votes
13 votes
The simplest form is 27x^5.

How to answer:
Apply radical rule: sqrt(ab) = sqrt(a) * sqrt(b)

3sqrt(81) * sqrt(x^10)

sqrt(81) = 9

3 * 9 * sqrt(x^10)

Apply radical rule again: nsqrt(a^m) = a^m/n
sqrt(x^10) = x^10/2

3 * 9x^10/2

3 * 9x^5

Multiply:

27x^5
User EENN
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