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remove all perfect squares from inside the square root or radical $\sqrt{98}$

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Simplify radical expressions

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Q. remove all perfect squares from inside the square root or radical

\sqrt{98}

Find Prime Factors: Find the prime factors of $98$ . Prime factors of $98$ = $2 imes 7 imes 7$
Rewrite with Prime Factors: Rewrite the square root with the prime factors. $\sqrt{98} = \sqrt{2 \times 7 \times 7}$
Identify Perfect Square Terms: Identify the perfect square terms. $\sqrt{98} = \sqrt{2 \times 7^2}$
Simplify Square Root: Simplify the square root. $\sqrt{2 \times 7^2} = 7 \sqrt{2}$

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