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QUESTION IMAGE

simplify.\\(sqrt{75}\\)

Question

simplify.\\(sqrt{75}\\)

Explanation:

Step1: Factor 75 into perfect square

$\sqrt{75} = \sqrt{25 \times 3}$

Step2: Split the square root

$\sqrt{25 \times 3} = \sqrt{25} \times \sqrt{3}$

Step3: Simplify $\sqrt{25}$

$\sqrt{25} = 5$, so $5 \times \sqrt{3}$

Answer:

$5\sqrt{3}$