Q
QuestionMathematics

Simplify √98
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Answer

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Step 1
: Identify the prime factors of the number under the square root.

The prime factors of 98 are 2 and 7, since $$98 = 2 imes 7 imes 7$$.

Step 2
: Apply the square root to each prime factor.

We can write the square root of 98 as $$\sqrt{98} = \sqrt{2 imes 7 imes 7} = \sqrt{2} imes \sqrt{7 imes 7} = \sqrt{2} imes 7$$.

Final Answer

\sqrt{98} = 7\sqrt{2}