Question

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

Explanation:

Step1: Factor into perfect squares

$\sqrt{25 \cdot 3 \cdot b^2 \cdot b}$

Step2: Separate square root terms

$\sqrt{25} \cdot \sqrt{b^2} \cdot \sqrt{3b}$

Step3: Simplify perfect square roots

$5 \cdot b \cdot \sqrt{3b}$

Answer:

$5b\sqrt{3b}$