Question

Find the

$\left(i\right)$ Duplicate ratio of $2\sqrt{2}:3\sqrt{5}$

Answer 1

Duplicate ratio is the squate of given ratio

$\therefore \text{Duplicate~ ratio}=(2\sqrt{2}{)}^2:(3\sqrt{5}{)}^2$

$=4\times 2:9\times 5$

$=8:45$

Hence, the duplicate ratio of $2\sqrt{2}:3\sqrt{5}\text{is}8:45.$