Question

simplify.
\sqrt{12}

Explanation:

Step1: Factor 12 into factors

We know that \(12 = 4\times3\), where 4 is a perfect square. So we can rewrite \(\sqrt{12}\) as \(\sqrt{4\times3}\).

Step2: Use the property of square roots

According to the property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (for \(a\geq0,b\geq0\)), we have \(\sqrt{4\times3}=\sqrt{4}\times\sqrt{3}\).

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

Since \(\sqrt{4} = 2\), then \(\sqrt{4}\times\sqrt{3}=2\sqrt{3}\).

Answer:

\(2\sqrt{3}\)