Simplifying square-root surds

Text

Take out the square factors:

• (a) $\sqrt{50}$
• (b) $\sqrt{72}$
• (c) $\sqrt{200}$

Solution

(a) $\sqrt{50}=\sqrt{25\cdot 2}=5\sqrt{2}$. (b) $\sqrt{72}=\sqrt{36\cdot 2}=6\sqrt{2}$. (c) $\sqrt{200}=\sqrt{100\cdot 2}=10\sqrt{2}$.

$\boxed{\;(a)\;5\sqrt{2}\qquad (b)\;6\sqrt{2}\qquad (c)\;10\sqrt{2}\;}$