Question

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

Answer 1

$$\begin{gathered} a\mathrm{is}\mathrm{the}\mathrm{G}.\mathrm{M}.\mathrm{between}2\mathrm{and}\frac{1}{4}. \\ \therefore a^2=2\times \frac{1}{4} \\ \Rightarrow a^2=\frac{1}{2} \\ \Rightarrow a=\sqrt{\frac{1}{2}} \\ \Rightarrow a=\frac{1}{\sqrt{2}} \end{gathered}$$