Question

Simplify $\sqrt{72}+\sqrt{800}-\sqrt{18}$.

Answer 1

Simplify the given expression:

The given expression is,

$\sqrt{72}+\sqrt{800}-\sqrt{18}=\sqrt{36\times 2}+\sqrt{400\times 2}-\sqrt{9\times 2}$

$$\begin{gathered} =\sqrt{6\times 6\times 2}+\sqrt{20\times 20\times 2}-\sqrt{3\times 3\times 2} \\ =6\sqrt{2}+20\sqrt{2}-3\sqrt{2} \end{gathered}$$

$=\left(6+20-3\right)\sqrt{2}$

$=23\sqrt{2}$

Hence, the given expression can be simplified to $23\sqrt{2}$.