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

sqrt98=

Simplify. $\newline$ Remove all perfect squares from inside the square root. $\newline$ $\sqrt{98}$

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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{98}

Identify Factors: Identify the perfect square factors of $98$ . $98$ can be factored into $2 \times 49$ . $49$ is a perfect square ( $7 \times 7$ ).
Separate Perfect Square: Rewrite the square root of $98$ by separating the perfect square factor. $\sqrt{98} = \sqrt{49 \times 2}$
Take Square Root Out: Take the square root of the perfect square factor out of the square root. $\newline$ $\sqrt{49 \times 2} = \sqrt{49} \times \sqrt{2}$ $\newline$ $\sqrt{49} = 7$ $\newline$ So, $\sqrt{98} = 7 \times \sqrt{2}$
Check for Simplifications: Check for any additional simplifications. There are no further simplifications as $2$ is a prime number and cannot be broken down into perfect square factors.

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