Question

Find duplicate ratio of ;

$\left(ii\right)$ $3\sqrt{3}:2\sqrt{5}$

Answer 1

Step: Find duplicate ratio

The duplicate ratio is the square of the given ratio.

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

$=9\times 3:4\times 5$

$=27:20$

Hence, the duplicate ratio of $3\sqrt{3}:2\sqrt{5}\text{is}27:20.$