Question

The duplicate ratio of $\sqrt{16}:\sqrt{64}$ is ____

• A. $1:2$
• B. $1:4$
• C. $4:16$
• D. $2:1$

Answer 1

Answer: (B)

$1:4$

The given ratio can be simplified as $\sqrt{16}:\sqrt{64}=4:8=1:2$
Now, the duplicate ratio of $a:b$ is $a^2:b^2$ and so that of $1:2$ is $1^2:2^2=1:4$.