Question

question express in simplest radical form. \\(\sqrt{128}\\) answer attempt 1 out of 2

Explanation:

Step1: Factor 128

We know that \(128 = 64\times2\), and \(64\) is a perfect square. So we can rewrite \(\sqrt{128}\) as \(\sqrt{64\times2}\).

Step2: Use the property of square roots

The property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (for \(a\geq0,b\geq0\)) allows us to split the square root. So \(\sqrt{64\times2}=\sqrt{64}\times\sqrt{2}\).

Step3: Simplify \(\sqrt{64}\)

Since \(8^2 = 64\), \(\sqrt{64}=8\). So we have \(8\times\sqrt{2}=8\sqrt{2}\).

Answer:

\(8\sqrt{2}\)