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

sqrt45=

Simplify. $\newline$ Remove all perfect squares from inside the square root. $\newline$ $\sqrt{45}$

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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{45}

Factorize the number $45$ : Factorize the number $45$ to find any perfect squares. $\newline$ $45$ can be factorized into $9$ and $5$ , where $9$ is a perfect square. $\newline$ $45 = 9 \times 5$
Write the square root of $45$ : Write the square root of $45$ as the product of the square roots of its factors. $\sqrt{45} = \sqrt{9 \times 5}$
Simplify the square root of the perfect square $9$ : Simplify the square root of the perfect square $9$ . $\newline$ Since $9$ is a perfect square, its square root is $3$ . $\newline$ $\sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5} = 3 \times \sqrt{5}$
Write the final simplified form: Write the final simplified form. $\newline$ The simplified form of $\sqrt{45}$ with all perfect squares removed is $3 \times \sqrt{5}$ .

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