Question

simplify.
\sqrt{245}

Explanation:

Step1: Factor 245

Factor 245 into prime factors: \(245 = 49\times5\)

Step2: Simplify the square root

Use the property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (\(a\geq0,b\geq0\)): \(\sqrt{245}=\sqrt{49\times5}=\sqrt{49}\times\sqrt{5}\)
Since \(\sqrt{49} = 7\), we have \(\sqrt{245}=7\sqrt{5}\)

Answer:

\(7\sqrt{5}\)