Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$\frac{2+2\sqrt{5}}{2}=$	A. $\boldsymbol{1 + \sqrt 5}$
	B. $\boldsymbol{2 + \sqrt 5}$
	C. $\boldsymbol{1 + 2\sqrt 5}$
	D. $\boldsymbol{2\sqrt 5}$
	E. $\boldsymbol{\sqrt 5}$

[ 3,4-3298 - op net sinds 13.11.01-(E)-18.11.2023 ]

Translation in E N G L I S H

$\frac{2+2\sqrt{5}}{2}=$	A. $\boldsymbol{1 + \sqrt 5}$
	B. $\boldsymbol{2 + \sqrt 5}$
	C. $\boldsymbol{1 + 2\sqrt 5}$
	D. $\boldsymbol{2\sqrt 5}$
	E. $\boldsymbol{\sqrt 5}$

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}\\{\color{DarkGreen} 1^{ste}\;manier\;: }\\ \frac{2+2\sqrt{5}}{2}=\frac{2.(1+\sqrt 5)}{2}=1+\sqrt 5\\{\color{DarkGreen} 2^{de}\;manier\;: }\\\frac{2+2\sqrt{5}}{2}=\frac 22+\frac{2\sqrt 5}{2} =1+\sqrt 5\\$

$\frac{2+2\sqrt{5}}{2}=$	A. \(\boldsymbol{1 + \sqrt 5}\)
	B. \(\boldsymbol{2 + \sqrt 5}\)
	C. \(\boldsymbol{1 + 2\sqrt 5}\)
	D. \(\boldsymbol{2\sqrt 5}\)
	E. \(\boldsymbol{\sqrt 5}\)

$\frac{2+2\sqrt{5}}{2}=$	A. \(\boldsymbol{1 + \sqrt 5}\)
	B. \(\boldsymbol{2 + \sqrt 5}\)
	C. \(\boldsymbol{1 + 2\sqrt 5}\)
	D. \(\boldsymbol{2\sqrt 5}\)
	E. \(\boldsymbol{\sqrt 5}\)