Question

express in simplest radical form. \\(\sqrt{125}\\)

Explanation:

Step1: Factor 125 into square factor

$125 = 25 \times 5$

Step2: Split radical into product of radicals

$\sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5}$

Step3: Simplify perfect square root

$\sqrt{25} = 5$, so $5 \times \sqrt{5}$

Answer:

$5\sqrt{5}$