Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{\sqrt 2}{\sqrt 3}+\frac{1}{\sqrt 6}$ is gelijk aan	A. $\small\boldsymbol{1+\sqrt3}$
	B. $\boldsymbol{\frac{\sqrt6}{2}}$
	C. $\boldsymbol{\frac{\sqrt6}{3}}$
	D. $\boldsymbol{3\sqrt6}$
	E. $\boldsymbol{2\sqrt6}$

[ 3-3598 - op net sinds 19.11.16-(E)-15.11.2024 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\frac{\sqrt 2}{\sqrt 3}+\frac{1}{\sqrt 6}$ is equal to	A. $\small\boldsymbol{1+\sqrt3}$
	B. $\boldsymbol{\frac{\sqrt6}{2}}$
	C. $\boldsymbol{\frac{\sqrt6}{3}}$
	D. $\boldsymbol{3\sqrt6}$
	E. $\boldsymbol{2\sqrt6}$

Oplossing - Solution

1^ste manier :
$\frac{\sqrt 2}{\sqrt 3}+\frac{1}{\sqrt 6}=\frac{\sqrt2\sqrt2}{\sqrt3\sqrt2}+\frac{1}{\sqrt6}=\frac{2}{\sqrt6}+\frac{1}{\sqrt6}=\frac{3}{\sqrt6}=\frac{3\sqrt6}{\sqrt6\sqrt6}=\frac{3\sqrt6}{6}=\frac{\sqrt6}{2}$
2^de manier :
$\frac{\sqrt 2}{\sqrt 3}+\frac{1}{\sqrt 6}=\frac{\sqrt2\sqrt3}{\sqrt3\sqrt3}+\frac{\sqrt6}{\sqrt6\sqrt6}=\frac{\sqrt6}{3}+\frac{\sqrt6}{6}=\frac{2\sqrt6}{6}+\frac{\sqrt6}{6}=\frac{3\sqrt6}{6}=\frac{\sqrt6}{2}$

$https://latex.codecogs.com/png.image?\dpi{110}\frac{\sqrt 2}{\sqrt 3}+\frac{1}{\sqrt 6}$ is gelijk aan	A. \(\small\boldsymbol{1+\sqrt3}\)
	B. \(\boldsymbol{\frac{\sqrt6}{2}}\)
	C. \(\boldsymbol{\frac{\sqrt6}{3}}\)
	D. \(\boldsymbol{3\sqrt6}\)
	E. \(\boldsymbol{2\sqrt6}\)

$https://latex.codecogs.com/png.image?\dpi{110}\frac{\sqrt 2}{\sqrt 3}+\frac{1}{\sqrt 6}$ is equal to	A. \(\small\boldsymbol{1+\sqrt3}\)
	B. \(\boldsymbol{\frac{\sqrt6}{2}}\)
	C. \(\boldsymbol{\frac{\sqrt6}{3}}\)
	D. \(\boldsymbol{3\sqrt6}\)
	E. \(\boldsymbol{2\sqrt6}\)