Question

question
express in simplest radical form.
\sqrt{48}

Explanation:

Step1: Factor 48 into perfect square and other factor

We know that \(48 = 16\times3\), where 16 is a perfect square. So, \(\sqrt{48}=\sqrt{16\times3}\).

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

Applying the property, we get \(\sqrt{16\times3}=\sqrt{16}\times\sqrt{3}\).

Step3: Simplify \(\sqrt{16}\)

Since \(\sqrt{16} = 4\), then \(\sqrt{16}\times\sqrt{3}=4\sqrt{3}\).

Answer:

\(4\sqrt{3}\)