Question

simplify $sqrt{16x^6}$ completely given $x > 0$.
answer attempt 1 out of 2

Explanation:

Step1: Split root into product

$\sqrt{16x^6} = \sqrt{16} \cdot \sqrt{x^6}$

Step2: Simplify square root of 16

$\sqrt{16} = 4$

Step3: Simplify square root of $x^6$

$\sqrt{x^6} = x^{6 \cdot \frac{1}{2}} = x^3$

Step4: Multiply the simplified terms

$4 \cdot x^3 = 4x^3$

Answer:

$4x^3$