Question
Write the following surds in simplest form. : $\quad \frac{3}{4} \sqrt{8}$
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Answer
$\begin{aligned} \frac{3}{4} \sqrt{8} & =\frac{3}{4} \times \sqrt{4 \times 2} \\ & =\frac{3}{4} \times 2 \sqrt{2} \\ \therefore \quad \frac{3}{4} \sqrt{8} & =\frac{3}{2} \sqrt{2}\end{aligned}$
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