1.Usuń niewymierność z mianownika.... Question from @Takatoo234

January 2019 1 9 Report

1.Usuń niewymierność z mianownika $\frac{ \sqrt{6} + \sqrt{3} }{ \sqrt{2}+1 }$

djpancernikfotk $\frac{\sqrt{6}+\sqrt{3}}{\sqrt{2}+1}\cdot\frac{\sqrt{2}-1}{\sqrt{2}-1}=\frac{(\sqrt{6}+\sqrt{3})(\sqrt{2}-1)}{2-1}=\frac{\sqrt{12}-\sqrt{6}+\sqrt{6}-\sqrt{3})}{1}=2\sqrt{3}-\sqrt{3}=\sqrt{3}$

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