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Simplify.
Remove all perfect squares from inside the square root.

sqrt125=

Simplify. $\newline$ Remove all perfect squares from inside the square root. $\newline$ $\sqrt{125}$

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Simplify radical expressions with variables

Full solution

Q. Simplify.

\newline

Remove all perfect squares from inside the square root.

\newline

\sqrt{125}

Factorize $125$ : Factorize $125$ to find perfect squares. $\newline$ $125$ can be factorized into $5 \times 5 \times 5$ , which is $5^2 \times 5$ .
Apply square root: Apply the square root to the factorized form. $\newline$ $\sqrt{125} = \sqrt{5^2 \times 5}$ $\newline$ We can take the square root of the perfect square $5^2$ out of the radical.
Simplify expression: Simplify the expression. $\sqrt{5^2 \cdot 5} = 5 \cdot \sqrt{5}$ This is because the square root of $5^2$ is $5$ .

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