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

sqrt28=

Simplify. $\newline$ Remove all perfect squares from inside the square root. $\newline$ $\sqrt{28}$ =

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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{28}

=

Factorize the number $28$ : Factorize the number $28$ to find perfect squares. $\newline$ $28$ can be factorized into $2 \times 14$ , and further into $2 \times 2 \times 7$ . So, the complete factorization of $28$ is $2^2 \times 7$ .
Identify perfect squares: Identify and separate the perfect squares from the factors. $\newline$ In the factorization $2^2 \times 7$ , the term $2^2$ is a perfect square.
Rewrite using factorization: Rewrite the square root of $28$ using its factorization. $\sqrt{28}$ can be written as $\sqrt{2^2 \times 7}$ .
Simplify the square root: Simplify the square root by taking the square root of the perfect square. $\newline$ The square root of $2^2$ is $2$ , so we can take this out of the square root, leaving us with $2 \times \sqrt{7}$ .
Write final simplified form: Write down the final simplified form. $\newline$ The simplified form of $\sqrt{28}$ is $2 \times \sqrt{7}$ .

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