Question

simplify. assume m is greater than or equal to zero.\\(sqrt{20m^{9}}\\)

Explanation:

Step1: Factor into perfect squares

$\sqrt{4 \times 5 \times m^8 \times m}$

Step2: Split the square root

$\sqrt{4} \times \sqrt{m^8} \times \sqrt{5m}$

Step3: Simplify perfect square roots

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

Step4: Combine terms

$2m^4\sqrt{5m}$

Answer:

$2m^4\sqrt{5m}$