Question

simplify. assume k is greater than or equal to zero.
$2\sqrt{18k^{5}}$

Explanation:

Step1: Factor radicand into squares

$2\sqrt{18k^5} = 2\sqrt{9 \cdot 2 \cdot k^4 \cdot k}$

Step2: Separate perfect square factors

$2 \cdot \sqrt{9} \cdot \sqrt{k^4} \cdot \sqrt{2k}$

Step3: Simplify perfect square roots

$2 \cdot 3 \cdot k^2 \cdot \sqrt{2k}$

Step4: Multiply constant terms

$6k^2\sqrt{2k}$

Answer:

$6k^2\sqrt{2k}$