Question

simplify.
\sqrt{20}

Explanation:

Step1: Factor 20 into prime factors

We know that \(20 = 4\times5\), where 4 is a perfect square.

Step2: Use the property of square roots \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (\(a\geq0,b\geq0\))

So, \(\sqrt{20}=\sqrt{4\times5}=\sqrt{4}\times\sqrt{5}\)

Step3: Simplify \(\sqrt{4}\)

Since \(\sqrt{4} = 2\), we have \(\sqrt{20}=2\sqrt{5}\)

Answer:

\(2\sqrt{5}\)