Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\dpi{110}\frac{4+\sqrt{32}}{8}$ kan vereenvoudigd worden tot	A. \(\frac12(1+\sqrt2)\)
	B. \(\frac{\sqrt2}2\)
	C. \(\sqrt2\)
	D. \(1+2\sqrt2\)
	E. \(\frac32\)
	F. \(\frac52\)

[ 3-8169 - op net sinds 5.4.2017-(E)-3.11.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\dpi{110}\frac{4+\sqrt{32}}{8}$ can be simplified to	A. \(\frac12(1+\sqrt2)\)
	B. \(\frac{\sqrt2}2\)
	C. \(\sqrt2\)
	D. \(1+2\sqrt2\)
	E. \(\frac32\)
	F. \(\frac52\)

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}\frac{4+\sqrt{32}}{8}=\frac{4+\sqrt{16.2}}{8}=\frac{4+4.\sqrt{2}}{8}=\frac{4\,(1+\sqrt 2)}{8}=\frac{1+\sqrt 2}{2}$

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