Question

algebra: concepts and connections - plc rewriting expressions with radicals what is the square root of ( ab^2 )? options: ( bsqrt{a} ), ( a^2b^2 ), ( ab ), ( b^2 )

Explanation:

Step1: Rewrite square root as product

$\sqrt{ab^2} = \sqrt{a} \times \sqrt{b^2}$

Step2: Simplify square root of $b^2$

$\sqrt{b^2} = b$

Step3: Combine simplified terms

$\sqrt{a} \times b = b\sqrt{a}$

Answer:

$b\sqrt{a}$