Question

simplify the expression.
\\(\sqrt{175}\\)
\\(\sqrt{175}=\square\\)
(type an exact answer, using radicals as needed.)

Explanation:

Step1: Factor 175

$175 = 25\times7$

Step2: Apply square - root property

$\sqrt{175}=\sqrt{25\times7}=\sqrt{25}\times\sqrt{7}$

Step3: Simplify $\sqrt{25}$

$\sqrt{25} = 5$, so $\sqrt{175}=5\sqrt{7}$

Answer:

$5\sqrt{7}$