Question
Simplify : $\quad \frac{4}{7} \sqrt{147}+\frac{3}{8} \sqrt{192}-\frac{1}{5} \sqrt{75}$
✓
Answer
$\quad \begin{aligned} & \frac{4}{7} \sqrt{147}+\frac{3}{8} \sqrt{192}-\frac{1}{5} \sqrt{75} \\ = & \frac{4}{7} \sqrt{49 \times 3}+\frac{3}{8} \sqrt{64 \times 3}-\frac{1}{5} \sqrt{25 \times 3} \\ = & \frac{4}{7} \times 7 \sqrt{3}+\frac{3}{8} \times 8 \sqrt{3}-\frac{1}{5} \times 5 \sqrt{3} \\ = & 4 \sqrt{3}+3 \sqrt{3}-\sqrt{3} \\ = & (4+3-1) \sqrt{3} \\ = & 6 \sqrt{3}\end{aligned}$
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