Question

simplify.
remove all perfect squares from inside the square root.
\\(sqrt{30b^5} = \square\\)

Explanation:

Step1: Factor the variable exponent

$b^5 = b^{4} \cdot b$

Step2: Rewrite the square root

$\sqrt{30b^5} = \sqrt{30 \cdot b^4 \cdot b}$

Step3: Separate perfect square factor

$\sqrt{b^4} \cdot \sqrt{30b}$

Step4: Simplify the perfect square root

$b^2 \cdot \sqrt{30b}$

Answer:

$b^2\sqrt{30b}$