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Simplifying square roots problem below.

Simplifying square roots problem below.-example-1
User Jakedunc
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1 Answer

7 votes
Break x⁴ into x³ and x¹, watch the step below

\sqrt[3]{ x^(4) }

= \sqrt[3]{ x^(3+1) }

Remember that

\sqrt{ x^(m+n) } = \sqrt{ x^(m) } \sqrt{ x^(n) }

Use the property above to simplify the root

= \sqrt[3]{ x^(3+1) }

=(\sqrt[3]{ x^(3) })( \sqrt[3]{x^(1)} )
= x ∛x

The answer is first option
User HJED
by
6.5k points
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