Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{150}2(3.\sqrt{18})(2.\sqrt{3})=$	A. $https://latex.codecogs.com/png.image?\dpi{150}36\, \sqrt{6}$
	B. $72\, \sqrt{6}$
	C. $72\, \sqrt{3}$
	D. $https://latex.codecogs.com/png.image?\dpi{150}18\, \sqrt{6}$
	E. $https://latex.codecogs.com/png.image?\dpi{150}216\, \sqrt{3}$

[ 3,4-3210 - op net sinds 13.8.02-(E)-3.11.2023 ]

Translation in E N G L I S H

See above

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}\\{\color{DarkGreen} 1^{ste}\;manier\;: }\\ 2(3.\sqrt{18})(2.\sqrt3) =(2.3.2)(\sqrt{18}.\sqrt3)=12\sqrt{54}\\ {\color{Green} .}\qquad\qquad\qquad =12.\sqrt{9.6}=12\sqrt9\sqrt6=12.3.\sqrt6=36\sqrt6\\{\color{DarkGreen} 2^{de}\;manier\;: }\\ 2(3.\sqrt{18})(2.\sqrt3) =2.3\sqrt{9.2}.2.\sqrt3=\\{\color{Green} .}\qquad\qquad\qquad2.3.2.\sqrt9\sqrt2\sqrt3=12.3.\sqrt2\sqrt3=36\sqrt6$