simplify. $sqrt{175}$

Explanation:

Step1: Factor 175 into square and remainder

$175 = 25 \times 7$

Step2: Split square root using product rule

$\sqrt{175} = \sqrt{25 \times 7} = \sqrt{25} \times \sqrt{7}$

Step3: Simplify perfect square root

$\sqrt{25} = 5$

Answer:

$5\sqrt{7}$