Question

Find the duplicate ratio of the following:
i) $\sqrt{10}:\sqrt{14}$

Answer 1

Given: $\sqrt{10}:\sqrt{14}$

$\sqrt{10}:\sqrt{14}=\frac{\sqrt{10}}{\sqrt{14}}$

So, the duplicate ratio of $\sqrt{10}:\sqrt{14}$ is,

${\left(\frac{\sqrt{10}}{\sqrt{14}}\right)}^2$

$=\frac{10}{14}$

$=\frac{5}{7}$

Hence, the duplicate ratio of $\sqrt{10}:\sqrt{14}\text{and}5:7$