Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$\frac{(\sqrt{30}+10)^2}{2}$	A. $https://latex.codecogs.com/png.image?\dpi{110}20$
	B. $https://latex.codecogs.com/png.image?\dpi{110}20+\sqrt {40}$
	C. $https://latex.codecogs.com/png.image?\dpi{110}40+10\sqrt 3$
	D. $https://latex.codecogs.com/png.image?\dpi{110}20+20\sqrt 3$
	E. $https://latex.codecogs.com/png.image?\dpi{110}20+10\sqrt 3$

[ 4-0410 - op net sinds 16.2.13-(E)-3.11.2024 ]

Translation in E N G L I S H

See above

Oplossing - Solution

${\color{DarkGreen} \frac{(\sqrt{30}+10)^2}{2}= \frac{30+2\sqrt{30}\sqrt{10}+10}{2}= \frac{40+2\sqrt{300}}{2}$

${\color{DarkGreen} \frac{(\sqrt{30}+10)^2}{2}= \frac{30+2\sqrt{30}\sqrt{10}+10}{2}= \frac{40+2\sqrt{300}}{2}= 20+\sqrt{300}=20\sqrt{100\cdot 3}=20+10\sqrt{3} }$