# Write True or False and give reasons for your answer in each of the following:By geometrical construction, it is possible to divide a line segment in the ratio $\sqrt{3}:\frac{1}{\sqrt{3}}$

Solution
To divide a line segment in the ratio, we need both positive integer.
So, we can be simplified it by multiply both the terms by  .$\sqrt{3}$
We obtain  $\sqrt{3}\times \sqrt{3} : \sqrt{3}\times \frac{1}{\sqrt{3}}$
$\Rightarrow 3:1$
So, the required ratio is $3:1$
Geometrical construction, is possible to divide a line segment in the ratio $3:1$

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