Question

Find the triplicate ratio of the following:
ii) $2\sqrt{5}:5\sqrt{2}$

Answer 1

Given: $2\sqrt{5}:5\sqrt{2}=\frac{2\sqrt{5}}{5\sqrt{2}}$

So, the triplicate ratio of $2\sqrt{5}:5\sqrt{2}$ is,

${\left(\frac{2\sqrt{5}}{5\sqrt{2}}\right)}^3$

$=\frac{8\times 5\sqrt{5}}{125\times 2\sqrt{2}}=\frac{4\sqrt{5}}{25\sqrt{2}}$

Hence the triplicate ratio of $2\sqrt{5}:5\sqrt{2}\text{is}4\sqrt{5}:25\sqrt{2}$.