Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image? \dpi{120}\sqrt[6]{2}\cdot \sqrt[3]{2}=$	A. $https://latex.codecogs.com/png.image? \dpi{120}\sqrt{2}$
	B. $https://latex.codecogs.com/png.image? \dpi{120}\sqrt[9]{2}$
	C. $https://latex.codecogs.com/png.image? \dpi{120}\sqrt[2]{2}$
	D. $https://latex.codecogs.com/png.image? \dpi{120}\sqrt[9]{4}$
	E. $https://latex.codecogs.com/png.image? \dpi{120}\sqrt[18]{2}$

[ 4-3585 - op net sinds 8.1.03-(E)-8.10.2026 ]

Translation in E N G L I S H

See above

Oplossing - Solution

1^ste manier :
$\begin{aligned} & {\color{DarkGreen} \sqrt[6]{2}.\sqrt[3]{2}=\sqrt[6]{2}.\sqrt[6]{4}=\sqrt[6]{8}=\sqrt{\sqrt[3]{8}}=\sqrt{2}}$
2^de manier :
$\color{DarkGreen}&space;\sqrt[6]{2}\cdot&space;\sqrt[3]{2}&space;=2^{\frac{1}{6}}.2^{\frac{1}{3}}&space;=2^{\frac{1}{6}&space;+&space;\frac{2}{6}}&space;=2^\frac{3}{6}&space;=2^\frac{1}{2}&space;=\cdots&space;$