Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\large \dpi{110}\3\sqrt{27}-2\sqrt{12}+2\sqrt{75}\\$ is gelijk aan	A. 9
	B. 10
	C. 12
	D. 15
	E. 16

[ 3-3140 - op net sinds 28.2.14-(E)-30.10.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\large \dpi{110}\3\sqrt{27}-2\sqrt{12}+2\sqrt{75}\\$ is equal to	A. 9
	B. 10
	C. 12
	D. 15
	E. 16

Oplossing - Solution

$\!\!\!\!\!\3\sqrt{27}-2\sqrt{12}+2\sqrt{75}\\ =3\sqrt{9.3}-2\sqrt{4.3}+2\sqrt{25.3}\\ =3.3\sqrt{3}-2.2\sqrt{3}+2.5\sqrt{3}\\ =9\sqrt{3}-4\sqrt{3}+10\sqrt{3}\\ =15\sqrt3$