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

sqrt18=

Simplify. $\newline$ Remove all perfect squares from inside the square root. $\newline$ $\sqrt{18}$

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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{18}

Factorize the number $18$ : Factorize the number $18$ to find perfect squares. $\newline$ The number $18$ can be factorized into $2 \times 9$ , where $9$ is a perfect square ( $3^2$ ).
Rewrite the square root of $18$ : Rewrite the square root of $18$ using its factorization. $\sqrt{18}$ can be written as $\sqrt{2 \times 9}$ .
Separate the perfect square: Separate the perfect square from the non-perfect square inside the square root. $\newline$ Since $9$ is a perfect square, we can take the square root of $9$ out of the square root, which gives us $3$ . $\newline$ So, $\sqrt{18}$ becomes $\sqrt{2} \times \sqrt{9}$ which simplifies to $3 \times \sqrt{2}$ .
Write the final simplified form: Write the final simplified form. $\newline$ The simplified form of $\sqrt{18}$ is $3 \cdot \sqrt{2}$ .

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