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aratati ca [tex]\frac{2}{\sqrt{3}-1 } -\sqrt{3} =1[/tex]

Răspuns :


[tex] \frac{2}{ \sqrt{3} - 1 } - \sqrt{3} = \frac{2( \sqrt{3} + 1) }{( \sqrt{3} - 1) \times ( \sqrt{3} + 1) } - \sqrt{3} = \frac{2( \sqrt{3} + 1) }{3 - 1} - \sqrt{3} = \frac{2( \sqrt{3} + 1) }{2} - \sqrt{3} = \sqrt{3} + 1 - \sqrt{3} = 1 [/tex]