Question

simplify. assume a is greater than or equal to zero. \sqrt{75a}

Explanation:

Step1: Factor radicand into squares

$\sqrt{75a^{10}} = \sqrt{25 \cdot 3 \cdot (a^5)^2}$

Step2: Split square root into product

$\sqrt{25} \cdot \sqrt{3} \cdot \sqrt{(a^5)^2}$

Step3: Simplify each square root

$5 \cdot \sqrt{3} \cdot a^5$

Step4: Rearrange terms

$5a^5\sqrt{3}$

Answer:

$5a^5\sqrt{3}$