If a is the G.M. of 2 and

Question:

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

Solution:

$a$ is the G.M. between 2 and $\frac{1}{4}$.

$\therefore a^{2}=2 \times \frac{1}{4}$

$\Rightarrow a^{2}=\frac{1}{2}$

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

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

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