Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

Welke uitspraak over $\sqrt{2},\: \sqrt[3]{3}\;\; en\;\; \sqrt[4]{4}$ is waar ?	A. $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt 2 < \sqrt[3]{3}<\sqrt[4]{4}$
B. $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt 2 = \sqrt[3]{3} = \sqrt[4]{4}$
C. $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt 2 = \sqrt[4]{4} < \sqrt[3]{3}$
D. $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt 2 > \sqrt[4]{4} > \sqrt[3]{3}$
E. $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt 2 = \sqrt[4]{4} > \sqrt[3]{3}$

Which statement about $\sqrt{2},\: \sqrt[3]{3}\;\; en\;\; \sqrt[4]{4}$ is true ?	A. $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt 2 < \sqrt[3]{3}<\sqrt[4]{4}$
	B. $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt 2 = \sqrt[3]{3} = \sqrt[4]{4}$
	C. $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt 2 = \sqrt[4]{4} < \sqrt[3]{3}$
	D. $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt 2 > \sqrt[4]{4} > \sqrt[3]{3}$
	E. $https://latex.codecogs.com/png.image?\inline \LARGE \dpi{110}\sqrt 2 = \sqrt[4]{4} > \sqrt[3]{3}$

$\\ \sqrt{2}=\sqrt[4]{4}\quad want\quad \sqrt[4]{4}=\sqrt{\sqrt{4}}$
$\\ \sqrt{2}\; \; ??\; \; \sqrt[3]{3}$
Hun relatie verandert niet als we ze beiden verheffen tot de zesde macht
$\\ \sqrt{2}.\sqrt{2}.\sqrt{2}.\sqrt{2}.\sqrt{2}.\sqrt{2}=2.2.2=8$
$\\ \sqrt[3]{3}.\sqrt[3]{3}.\sqrt[3]{3}\cdot \sqrt[3]{3}.\sqrt[3]{3}.\sqrt[3]{3}=3.3=9$
$\\ Dus: \;\;\sqrt{2}\; \leq \; \sqrt[3]{3}$