Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$\frac{\sqrt 3}{3}+\frac{2}{\sqrt 3}=$	A. \(\large\boldsymbol{\frac{1}{2}}\)
B. \(\large\boldsymbol{\frac{2}{3}}\)
C. \(\boldsymbol{\sqrt 3}\)
D. \(\large\boldsymbol{\frac {\sqrt 3} {2} }\)
E. \(\large\boldsymbol{\frac {3\,+\,\sqrt 3} {6} }\)

1^ste manier :
$\frac{\sqrt 3}{3}+\frac{2}{\sqrt 3}=\frac{\sqrt 3}{3}+\frac{2\sqrt3}{\sqrt3\sqrt3}=\frac{\sqrt 3}{3}+\frac{2\sqrt3}{3}=\frac{\sqrt3+2\sqrt3}{3}=\frac{3\sqrt3}{3}=\sqrt3$
2^de manier :
$\frac{\sqrt 3}{3}+\frac{2}{\sqrt 3}=\frac{\sqrt3\sqrt3+2.3}{3\sqrt3}=\frac{3+6}{3\sqrt3}=\frac{9}{3\sqrt3}=\frac{3}{\sqrt3}=\frac{3\sqrt3}{\sqrt3\sqrt3}=\frac{3\sqrt3}{3}=\sqrt3$
3^de manier :
$\frac{\sqrt 3}{3}+\frac{2}{\sqrt 3}=\frac{1}{\sqrt3}+\frac{2}{\sqrt3}=\frac{3}{\sqrt3}=\sqrt3$