Question

Find the value of $\frac{21\sqrt{12}}{10\sqrt{27}}$

Answer 1

$\frac{21\sqrt{12}}{10\sqrt{27}}=\frac{21\sqrt{4\times 3}}{10\sqrt{9\times 3}}=\frac{21\times 2\times \sqrt{3}}{10\times 3\times \sqrt{3}}=\frac{7\times 3\times 2\times \sqrt{3}}{5\times 2\times 3\times \sqrt{3}}=\frac{7}{5}$