Getal & Ruimte (13e editie) - 3 havo
'Wortels vereenvoudigen'.
| 2 havo/vwo | 5.3 Wortels herleiden |
opgave 1Herleid. 1p a \(\sqrt{500}\) FactorVoorWortelteken (1) 0086 - Wortels vereenvoudigen - basis - 0ms a \(\sqrt{500}=\sqrt{100}⋅\sqrt{5}=10\sqrt{5}\text{.}\) 1p 1p b \(-7\sqrt{32}\) FactorVoorWortelteken (2) 0087 - Wortels vereenvoudigen - basis - 0ms b \(-7\sqrt{32}=-7⋅\sqrt{16}⋅\sqrt{2}=-7⋅4⋅\sqrt{2}=-28\sqrt{2}\text{.}\) 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 - 56ms 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 \(\sqrt{\frac{91}{100}}\) BreukInWortel (2) 008c - Wortels vereenvoudigen - basis - 1ms b \(\sqrt{\frac{91}{100}}={\sqrt{91} \over \sqrt{100}}={\sqrt{91} \over 10}=\frac{1}{10}\sqrt{91}\text{.}\) 1p |