Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$\large \sqrt[3]{2\sqrt{2}}=$	A.	$\large \sqrt{2}$
B.	2
C.	$\large \sqrt[3]{2}$
D.	$\large \sqrt[3]{4}$
E.	$\large \sqrt{2}\cdot \sqrt[3]{2}$

$https://latex.codecogs.com/png.image?\dpi{110}\\{\color{DarkGreen} 1^{ste}\;manier\;: }\\\sqrt[3]{2\sqrt2}=\sqrt[3]{\sqrt2\sqrt2\sqrt2}=\sqrt2\;\;aangezien\; \sqrt[3]{a.a.a}=a\\{\color{DarkGreen} 2^{de}\;manier\;: }\\\sqrt[3]{2\sqrt2}=\left ( 2.2^{\frac12} \right )^{\frac13}=\left ( 2^{\frac32} \right )^{\frac13}=2^{\frac32.\frac13}=2^\frac12=\sqrt2$