Question

simplify the square root. assume all variables represent positive numbers. if the square root is already simplified, so state.
\sqrt{50}

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
\bigcirc a. \sqrt{50} = \square (type an exact answer, using radicals as needed.)
\bigcirc b. the expression is already simplified.

Explanation:

Step1: Factor out perfect square

$\sqrt{50} = \sqrt{25 \times 2}$

Step2: Split the square root

$\sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2}$

Step3: Simplify perfect square root

$\sqrt{25} \times \sqrt{2} = 5\sqrt{2}$

Answer:

A. $\sqrt{50} = 5\sqrt{2}$