Question

What is the sub-duplicate ratio of 49 : 121? $\left[1\text{Mark}\right]$

Answer 1

We know that, for a ratio a : b, sub-duplicate ratio is defined as the ratio of square root of both the terms i.e. sub-duplicate ratio of a : b = $a^{\frac{1}{2}}:b^{\frac{1}{2}}$
$\therefore$ The sub-duplicate ratio of 49 : 121 is $\sqrt{49}:\sqrt{121}$ which is 7 : 11.