Question

question
express in simplest radical form.
\\(\sqrt{54}\\)

Explanation:

Step1: Factor 54 into perfect square and other

Factor 54: \(54 = 9\times6\), where 9 is a perfect square.
\(\sqrt{54}=\sqrt{9\times6}\)

Step2: Use radical property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\)

Apply the property \(\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\) (\(a\geq0,b\geq0\)):
\(\sqrt{9\times6}=\sqrt{9}\times\sqrt{6}\)

Step3: Simplify \(\sqrt{9}\)

Since \(\sqrt{9} = 3\), we have:
\(\sqrt{9}\times\sqrt{6}=3\sqrt{6}\)

Answer:

\(3\sqrt{6}\)