Question

simplify.
\sqrt{50}

Explanation:

Step1: Factor 50 into 25×2

$\sqrt{50}=\sqrt{25\times2}$

Step2: Use square - root property $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ ($a\geq0,b\geq0$)

$\sqrt{25\times2}=\sqrt{25}\times\sqrt{2}$

Step3: Simplify $\sqrt{25}$

Since $5^2 = 25$, then $\sqrt{25}=5$. So $\sqrt{25}\times\sqrt{2}=5\sqrt{2}$

Answer:

$5\sqrt{2}$