Question

_____ is the duplicate ratio of $\sqrt{2}:\sqrt{3}$

• A. $\sqrt{3}:\sqrt{2}$
• B. $4:9$
• C. $2:3$
• D. $\sqrt{6}:\sqrt{3}$

Answer 1

The correct option is C $2:3$

The duplicate ratio of $a:b$ is $b:a$
$\therefore$ The duplicate ratio of $\sqrt{2}:\sqrt{3}$ is $(\sqrt{2}{)}^2:(\sqrt{3}{)}^2=2:3$