Question

simplify. assume h is greater than or equal to zero. \sqrt{8h}

Explanation:

Step1: Factor the radicand

We can factor 8 as \(4\times2\), so \(\sqrt{8h}=\sqrt{4\times2h}\).

Step2: Use the property of square roots

Using the property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (where \(a\geq0\) and \(b\geq0\)), we get \(\sqrt{4\times2h}=\sqrt{4}\times\sqrt{2h}\).
Since \(\sqrt{4} = 2\), then \(\sqrt{4}\times\sqrt{2h}=2\sqrt{2h}\).

Answer:

\(2\sqrt{2h}\)