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Question
remove all perfect squares from inside the square root.\\(\sqrt{125} = \square\\)
Step1: Factor 125 into square factor
$125 = 25 \times 5$
Step2: Split square root into product
$\sqrt{125} = \sqrt{25 \times 5} = \sqrt{25} \times \sqrt{5}$
Step3: Simplify perfect square root
$\sqrt{25} = 5$, so $\sqrt{25} \times \sqrt{5} = 5\sqrt{5}$
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$5\sqrt{5}$