Question

Find
$\frac{4}{7}\sqrt{147}+\frac{3}{8}\sqrt{192}-\frac{1}{5}\sqrt{75}$

Answer 1

$\frac{4}{7}\sqrt{147}+\frac{3}{8}\sqrt{192}-\frac{1}{5}\sqrt{75}$
$=\frac{4}{7}\sqrt{49\times 3}+\frac{3}{8}\sqrt{64\times 3}-\frac{1}{5}\sqrt{25\times 3}$
$=\frac{4}{7}\times 7\sqrt{3}+\frac{3}{8}\times 8\sqrt{3}-\frac{1}{5}\times 5\sqrt{3}$
$=4\sqrt{3}+3\sqrt{3}-\sqrt{3}$
$=6\sqrt{3}$