Question

question
express in simplest radical form.
\sqrt{50}

Explanation:

Step1: Factor the radicand

Factor 50 into a product of a perfect square and another number: $50 = 25\times2$.

Step2: Apply square - root property

Using the property $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ (where $a = 25$, $b = 2$ and $a$ is a perfect square), we have $\sqrt{50}=\sqrt{25\times2}$.
Then, $\sqrt{25\times2}=\sqrt{25}\times\sqrt{2}$.
Since $\sqrt{25} = 5$, we get $5\sqrt{2}$.

Answer:

$5\sqrt{2}$