Wiskunde Multiple Choice Vraag

$\frac{2-\sqrt3}{2+\sqrt3}=$	A. − 1
	B. − 0,2
	C. 7
	D. $4-3\sqrt3$
	E. $7-4\sqrt3$

[ 3-3214 - op net sinds 6.9.2025-(E)- ]

Translation in E N G L I S H

$\frac{2-\sqrt3}{2+\sqrt3}=$	A. − 1
	B. − 0.2
	C. 7
	D. $4-3\sqrt3$
	E. $7-4\sqrt3$

Oplossing - Solution

$\frac{2-\sqrt3}{2+\sqrt3}=\frac{\left(2-\sqrt3\right)\cdot\left(2-\sqrt3\right)}{\left(2+\sqrt3\right)\cdot\left(2-\sqrt3\right)}=\frac{\left(2-\sqrt3\right)^2}{4-3}=4-4\sqrt3+3=7-4\sqrt3$