Getal & Ruimte (12e editie) - havo wiskunde A
'Wortels vereenvoudigen'.
| 2 havo/vwo | 5.3 Wortels herleiden |
opgave 1Herleid. 1p a \(\sqrt{175}\) FactorVoorWortelteken (1) 0086 - Wortels vereenvoudigen - basis a \(\sqrt{175}=\sqrt{25}⋅\sqrt{7}=5\sqrt{7}\text{.}\) 1p 1p b \(2\sqrt{45}\) FactorVoorWortelteken (2) 0087 - Wortels vereenvoudigen - basis b \(2\sqrt{45}=2⋅\sqrt{9}⋅\sqrt{5}=2⋅3⋅\sqrt{5}=6\sqrt{5}\text{.}\) 1p |
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| 3 havo | 5.4 Wortels herleiden |
opgave 1Herleid. 1p a \(\sqrt{2\frac{14}{25}}\) BreukInWortel (1) 008b - Wortels vereenvoudigen - basis a \(\sqrt{2\frac{14}{25}}=\sqrt{\frac{64}{25}}={\sqrt{64} \over \sqrt{25}}=\frac{8}{5}=1\frac{3}{5}\text{.}\) 1p 1p b \(\sqrt{\frac{31}{36}}\) BreukInWortel (2) 008c - Wortels vereenvoudigen - basis b \(\sqrt{\frac{31}{36}}={\sqrt{31} \over \sqrt{36}}={\sqrt{31} \over 6}=\frac{1}{6}\sqrt{31}\text{.}\) 1p |