Question

question
express in simplest radical form.
\sqrt{50}
answer attempt 1 out of 2

Explanation:

Step1: Factor 50 into perfect square and other

We know that \(50 = 25\times2\), where 25 is a perfect square. So we can rewrite \(\sqrt{50}\) as \(\sqrt{25\times2}\).

Step2: Use property of square roots

Using the property \(\sqrt{ab}=\sqrt{a}\times\sqrt{b}\) (for \(a\geq0,b\geq0\)), we get \(\sqrt{25\times2}=\sqrt{25}\times\sqrt{2}\).
Since \(\sqrt{25} = 5\), then \(\sqrt{25}\times\sqrt{2}=5\sqrt{2}\).

Answer:

\(5\sqrt{2}\)