Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

remove all perfect squares from inside the square root.\\(\\sqrt{125} =…

Question

remove all perfect squares from inside the square root.\\(\sqrt{125} = \square\\)

Explanation:

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 $\sqrt{25} \times \sqrt{5} = 5\sqrt{5}$

Answer:

$5\sqrt{5}$