Question

What is the geometric mean of $7$ and $63$?

Answer 1

Finding the geometric mean of $7$ and $63$:

The geometric mean of two numbers $a$ and $b$ is calculated as,

$\mathit{G}\mathit{M}\mathbf{=}\sqrt{\mathbf{a}\mathbf{b}}$

Therefore

$GM=\sqrt{7\times 63}$

$\Rightarrow GM=\sqrt{441}$

$\Rightarrow GM=21$

Hence, $21$ is the geometric mean of $63$ and $7$.