Question

$\sqrt{192}$

Explanation:

Step1: Factor 192 into perfect square and other

We know that \(192 = 64\times3\), where \(64\) is a perfect square (\(8^2\)). So, \(\sqrt{192}=\sqrt{64\times3}\).

Step2: Use square - root property

Using the property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (\(a\geq0,b\geq0\)), we have \(\sqrt{64\times3}=\sqrt{64}\times\sqrt{3}\).
Since \(\sqrt{64} = 8\), then \(\sqrt{192}=8\sqrt{3}\).

Answer:

\(8\sqrt{3}\)