Question

cal expressions 30 85% √32? plify

Explanation:

Step1: Factor 32 into perfect square and other

We know that \(32 = 16\times2\), where \(16\) is a perfect square (\(16 = 4^2\)). So we can rewrite \(\sqrt{32}\) as \(\sqrt{16\times2}\).

Step2: Use square - root property

According to the property of square roots \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (for \(a\geq0,b\geq0\)), we have \(\sqrt{16\times2}=\sqrt{16}\times\sqrt{2}\).
Since \(\sqrt{16} = 4\), then \(\sqrt{16}\times\sqrt{2}=4\sqrt{2}\).

Answer:

\(4\sqrt{2}\)