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QUESTION IMAGE

express in simplest radical form.\\(\\sqrt{90}\\)

Question

express in simplest radical form.\\(\sqrt{90}\\)

Explanation:

Step1: Factor 90 into perfect square

$90 = 9 \times 10$

Step2: Split radical into product

$\sqrt{90} = \sqrt{9 \times 10} = \sqrt{9} \times \sqrt{10}$

Step3: Simplify perfect square root

$\sqrt{9} = 3$, so $3 \times \sqrt{10}$

Answer:

$3\sqrt{10}$