Question

simplify.
\sqrt{24}

Explanation:

Step1: Factor 24 into perfect square and other factor

We know that \(24 = 4\times6\), where \(4\) is a perfect square (\(4 = 2^2\)). So we can rewrite \(\sqrt{24}\) as \(\sqrt{4\times6}\).

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

Applying the property, we get \(\sqrt{4\times6}=\sqrt{4}\times\sqrt{6}\). Since \(\sqrt{4} = 2\), then \(\sqrt{4}\times\sqrt{6}=2\sqrt{6}\).

Answer:

\(2\sqrt{6}\)