Question

Aratati ca 2/radical din 3-1 -radical din 3=1

Answer 1

$\frac{2}{ \sqrt{3} -1} - \sqrt{3} =1$
rationalizam numitorul fractiei ...
[tex] \frac{2(\sqrt3+1)}{(\sqrt3+1)(\sqrt3-1)} -\sqrt3=1\\ \frac{\not2(\sqrt3+1)}{\not2}-\sqrt3=1\\ \sqrt\not3+1-\sqrt\not3=1\;\\ \rightarrow\;\;1=1[/tex]