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

sqrt12=

Simplify. $\newline$ Remove all perfect squares from inside the square root. $\newline$ $\sqrt{12}$

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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{12}

Factorize the number $12$ : Factorize the number $12$ to find perfect squares. $\newline$ The number $12$ can be factorized into $2 \times 2 \times 3$ , where $2 \times 2$ is a perfect square.
Write the square root of $12$ : Write the square root of $12$ as the product of the square roots of its factors. $\newline$ $\sqrt{12} = \sqrt{2 \times 2 \times 3}$
Simplify the square root of the perfect square: Simplify the square root of the perfect square. $\newline$ Since $2 \times 2$ is a perfect square, we can take the square root of $2 \times 2$ out of the radical. $\newline$ $\sqrt{12} = \sqrt{2 \times 2} \times \sqrt{3}$
Calculate the square root of the perfect square: Calculate the square root of the perfect square and simplify the expression. $\sqrt{2 \times 2}$ is $2$ , so we have: $\sqrt{12} = 2 \times \sqrt{3}$

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