Question

simplify.
\sqrt{300}

Explanation:

Step1: Factor 300 into perfect square and other

We know that \(300 = 100\times3\), where \(100\) is a perfect square.

Step2: Use square root property

Using the property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (for \(a\geq0,b\geq0\)), we have \(\sqrt{300}=\sqrt{100\times3}=\sqrt{100}\times\sqrt{3}\).
Since \(\sqrt{100} = 10\), then \(\sqrt{300}=10\sqrt{3}\).

Answer:

\(10\sqrt{3}\)