Question

simplify.
remove all perfect squares from inside the square root. assume ( x ) is positive.
( sqrt{20x^8} = ) (\boxed{})

Explanation:

Step1: Factor out perfect squares

$\sqrt{20x^8} = \sqrt{4 \times 5 \times (x^4)^2}$

Step2: Separate square roots

$\sqrt{4} \times \sqrt{(x^4)^2} \times \sqrt{5}$

Step3: Simplify each square root

$2 \times x^4 \times \sqrt{5}$

Step4: Combine terms

$2x^4\sqrt{5}$

Answer:

$2x^4\sqrt{5}$