Roedviz
Answered

[tex] \sqrt{2} / (2+ \sqrt{3} )=?


Sagot :

Riza1viz
[tex]\frac{ \sqrt{2}}{2+ \sqrt{3}} = \frac{ \sqrt{2}}{2+ \sqrt{3}}*\frac{2- \sqrt{3}}{2- \sqrt{3}}=\frac{\sqrt{2}(2+ \sqrt{3})}{2^2-(\sqrt{3})^2}=\frac{2\sqrt{2} + \sqrt{3*2} }{4-3}= 2\sqrt{2} + \sqrt{6}[/tex]