can we divide a line segment in ratio root 2:1 by root 2

Dividing a line segment in the ratio

$$\begin{gathered} \sqrt{2}:1/\sqrt{2} \\ =\frac{\sqrt{2}}{{\displaystyle \frac{1}{\sqrt{2}}}} \\ =\frac{\frac{\sqrt{2}}{{\displaystyle 1}}}{\frac{1}{\sqrt{2}}} \\ =\frac{\sqrt{2}}{1}\times \frac{\sqrt{2}}{1} \\ =\frac{2}{1} \end{gathered}$$

Thus the line segment is to be divided in the ratio 2:1.
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