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}
Step 3:: Further simplify the square root of the perfect square.
\sqrt{49} = 7
Step 4:: Combine the results from Steps 2 and 3 to get the simplified form.
\sqrt{245} = \sqrt{5} imes 7
Final Answer
The simplified form of \sqrt{245} is \sqrt{5} imes 7. If needed, this can be further simplified to 7\sqrt{5}.
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