Question

simplify. assume k is greater than or equal to zero.\\(\sqrt{50k^{8}}\\)

Explanation:

Step1: Factor into perfect squares

$\sqrt{25 \times 2 \times k^8} = \sqrt{25} \times \sqrt{2} \times \sqrt{k^8}$

Step2: Simplify perfect square roots

$\sqrt{25}=5$, $\sqrt{k^8}=k^4$

Step3: Combine simplified terms

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

Answer:

$5k^4\sqrt{2}$