Question

express in simplest radical form.\\(\sqrt{180}\\)

Explanation:

Step1: Factor 180 into perfect square

$180 = 36 \times 5$

Step2: Split radical into product

$\sqrt{180} = \sqrt{36 \times 5} = \sqrt{36} \times \sqrt{5}$

Step3: Simplify perfect square root

$\sqrt{36} = 6$, so $6 \times \sqrt{5}$

Answer:

$6\sqrt{5}$