Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{1}{\sqrt[3]{a\, b^2}}$ laat zich schrijven als	A. $\large\boldsymbol{\frac {\sqrt[3]{a^2b} } {a^2b} }$
	B. $\large\boldsymbol{\frac {\sqrt[3]{a^2b}} {ab} }$
	C. $\large\boldsymbol{\frac {\sqrt[3]{ab^2}} {ab} }$
	D. $\large\boldsymbol{\frac {\sqrt[3]{a^2b}} {ab^2} }$
	E. $\large\boldsymbol{\frac {\sqrt[3]{ab^2}} {ab^2} }$

[ 3,4-3143 - op net sinds 5.3.14-(E)-30.10.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\frac{1}{\sqrt[3]{a\, b^2}}$ can be written as See above

Oplossing - Solution

$\frac{1}{\sqrt[3]{ab^2}}=\frac{1.\sqrt[3]{ab^2}.\sqrt[3]{ab^2}}{\sqrt[3]{ab^2}.\sqrt[3]{ab^2}.\sqrt[3]{ab^2}}=\frac{\sqrt[3]{a^2.b^4}}{ab^2}=\frac{\sqrt[3]{b^3.a^2.b}}{ab^2}=\frac{b.\sqrt[3]{a^2b}}{ab^2}=\frac{\sqrt[3]{a^2b}}{ab}$

$https://latex.codecogs.com/png.image?\dpi{110}\frac{1}{\sqrt[3]{a\, b^2}}$ laat zich schrijven als	A. \(\large\boldsymbol{\frac {\sqrt[3]{a^2b} } {a^2b} }\)
	B. \(\large\boldsymbol{\frac {\sqrt[3]{a^2b}} {ab} }\)
	C. \(\large\boldsymbol{\frac {\sqrt[3]{ab^2}} {ab} }\)
	D. \(\large\boldsymbol{\frac {\sqrt[3]{a^2b}} {ab^2} }\)
	E. \(\large\boldsymbol{\frac {\sqrt[3]{ab^2}} {ab^2} }\)