Question
Simplify : $13 \sqrt{8}+\frac{1}{2} \sqrt{8}-5 \sqrt{8}$

Answer

$=\left(13+\frac{1}{2}-5\right) \sqrt{8}=\left(\frac{26+1-10}{2}\right) \sqrt{8}$

$
\begin{aligned}
& =\frac{17}{2} \sqrt{8}=\frac{17}{2} \sqrt{4 \times 2} \\
& =\frac{17}{2} \times 2 \sqrt{2}=17 \sqrt{2}
\end{aligned}
$

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