Question

If a is the G.M. of 2 and $\frac{1}{4},$ find a.

Answer 1

a is geometric means between 2 and $\frac{1}{4}$

Then, $a=\sqrt{2\times \frac{1}{4}}$

$a=\sqrt{\frac{1}{2}}=\frac{1}{\sqrt{2}}$