Q
QuestionMathematics

Simplify √245
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Answer

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

The prime factors of 245 are 5 and 7, since $$245 = 5 imes 7^2$$.

Step 2
: Simplify the square root by taking out any perfect squares.

\sqrt{245} = \sqrt{5 imes 49} = \sqrt{5} imes \sqrt{49}

Final Answer

The simplified form of \sqrt{245} is \sqrt{5} imes 7. If needed, this can be further simplified to 7\sqrt{5}.