Question

simplify \\(\sqrt{72x}\\)

Explanation:

Step1: Factor 72

Factor 72 into a product of a perfect square and another number: \(72 = 36\times2\), so \(\sqrt{72x}=\sqrt{36\times2x}\).

Step2: Use square - root property

Using the property \(\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\) (\(a\geq0,b\geq0\)), we have \(\sqrt{36\times2x}=\sqrt{36}\cdot\sqrt{2x}\).
Since \(\sqrt{36} = 6\), then \(\sqrt{36}\cdot\sqrt{2x}=6\sqrt{2x}\).

Answer:

\(6\sqrt{2x}\)