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

Dividing a line segment in the ratio

$\sqrt{2}:1/\sqrt{2}\phantom{\rule{0ex}{0ex}}=\frac{\sqrt{2}}{\frac{1}{\sqrt{2}}}\phantom{\rule{0ex}{0ex}}=\frac{\frac{\sqrt{2}}{1}}{\frac{1}{\sqrt{2}}}\phantom{\rule{0ex}{0ex}}=\frac{\sqrt{2}}{1}×\frac{\sqrt{2}}{1}\phantom{\rule{0ex}{0ex}}=\frac{2}{1}$

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