Question

simplify √2-√3/√6-√2-√6+√2​

Answer 1

Answer:

$\sqrt{2} - \sqrt{3}$

Step-by-step explanation:

$\frac{\sqrt{2} - \sqrt{3}}{ \sqrt{6} - \sqrt{2} - \sqrt{6} + \sqrt{2} }$

$= \frac{ \sqrt{2} - \sqrt{3} }{1}$

$[as +\sqrt{6} \: cancels \: by \: - \sqrt{6} \: and - \sqrt{2} \: cancels \: by \: + \sqrt{2}$

$Therefore, \: the \: answer \: is \: \sqrt{2} - \sqrt{3}$