Question

simplify. assume q is greater than or equal to zero.
\sqrt{75q^{3}}

Explanation:

Step1: Factor 75 into perfect square

$75 = 25 \times 3$, where 25 is $5^2$

Step2: Rewrite the square root

$\sqrt{75q} = \sqrt{25 \times 3q}$

Step3: Split the square root

$\sqrt{25} \times \sqrt{3q}$

Step4: Simplify $\sqrt{25}$

$\sqrt{25} = 5$

Step5: Combine terms

$5\sqrt{3q}$

Answer:

$5\sqrt{3q}$