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QUESTION IMAGE

express in simplest radical form. \\(sqrt{72}\\)

Question

express in simplest radical form. \\(sqrt{72}\\)

Explanation:

Step1: Factor 72 into perfect square

$\sqrt{72} = \sqrt{36 \times 2}$

Step2: Split the radical into product

$\sqrt{36 \times 2} = \sqrt{36} \times \sqrt{2}$

Step3: Simplify the perfect square root

$\sqrt{36} \times \sqrt{2} = 6\sqrt{2}$

Answer:

$6\sqrt{2}$