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

sqrt20=

Simplify. $\newline$ Remove all perfect squares from inside the square root. $\newline$ $\sqrt{20}$

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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{20}

Factorize the number $20$ : Factorize the number $20$ to find perfect squares. $\newline$ The prime factorization of $20$ is $2 \times 2 \times 5$ , which can also be written as $2^2 \times 5$ .
Identify the perfect square: Identify the perfect square in the factorization. $\newline$ The perfect square in the factorization of $20$ is $2^2$ .
Simplify the square root: Simplify the square root by taking out the perfect square. $\newline$ Since the square root of a perfect square is the number itself, we can take the square root of $2^2$ out of the square root of $20$ . $\newline$ $\sqrt{20} = \sqrt{2^2 \times 5} = 2 \times \sqrt{5}$

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