Question

question
simplify $sqrt4{256x^{12}}$ completely given $x > 0$.
answer attempt 1 out of 2

Explanation:

Step1: Rewrite radicand as 4th powers

$\sqrt[4]{256x^{12}} = \sqrt[4]{4^4 \cdot (x^3)^4}$

Step2: Apply 4th root property

$\sqrt[4]{4^4 \cdot (x^3)^4} = 4x^3$ (since $x>0$, no absolute value needed)

Answer:

$4x^3$