Question

Simplifying square roots problem below.

Answer 1

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