Question

simplify. assume k is greater than or equal to zero.\\(sqrt{45k^{5}}\\)

Explanation:

Step1: Factor into perfect squares

$\sqrt{9 \times 5 \times k^4 \times k}$

Step2: Separate square root terms

$\sqrt{9} \times \sqrt{k^4} \times \sqrt{5k}$

Step3: Simplify perfect square roots

$3 \times k^2 \times \sqrt{5k}$

Step4: Combine constant and variable terms

$3k^2\sqrt{5k}$

Answer:

$3k^2\sqrt{5k}$