Question

simplify. assume g is greater than or equal to zero.\\(\sqrt{50g}\\)

Explanation:

Step1: Factor the radicand

We can factor 50 into \(25\times2\), so \(\sqrt{50g}=\sqrt{25\times2\times g}\).

Step2: Use the property of square roots

Recall that \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (for \(a\geq0,b\geq0\)). So we can split the square root as \(\sqrt{25}\times\sqrt{2g}\).

Step3: Simplify \(\sqrt{25}\)

Since \(\sqrt{25} = 5\) (because \(5\times5 = 25\)), we have \(5\sqrt{2g}\).

Answer:

\(5\sqrt{2g}\)