Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$\sqrt[3]{4x^2y}\cdot\sqrt{2xy}$ kan ook geschreven worden als	A. $2x.\sqrt[6]{2xy^3}$
	B. $2x.\sqrt[6]{2xy^5}$
	C. $https://latex.codecogs.com/png.image?\dpi{110}2x.\sqrt[6]{2x^3y^5}$
	D. $2x.\sqrt[6]{2x^5y^3}$
	E. geen van de vorige

[ 4-3144 - op net sinds 28.7.2020-(E)-30.10.2024 ]

Translation in E N G L I S H

$\sqrt[3]{4x^2y}\cdot\sqrt{2xy}$ can also be written as	A. $2x.\sqrt[6]{2xy^3}$
	B. $2x.\sqrt[6]{2xy^5}$
	C. $2x.\sqrt[6]{2x^3y^5}$
	D. $2x.\sqrt[6]{2x^5y^3}$
	E. none of these

Oplossing - Solution

$\sqrt[3]{4x^2y}\cdot\sqrt{2xy}=\sqrt[6]{16x^4y^2}\cdot\sqrt[6]{8x^3y^3}\\=\sqrt[6]{128x^7y^5}=\sqrt[6]{64.2x^6xy^5}=2x\sqrt[6]{2xy^5}$

$\sqrt[3]{4x^2y}\cdot\sqrt{2xy}=\sqrt[6]{16x^4y^2}\cdot\sqrt[6]{8x^3y^3}\\=\sqrt[6]{128x^7y^5}=\sqrt[6]{64.2x^6xy^5}=2x\sqrt[6]{2xy^5}$