Getal & Ruimte (13e editie) - 3 havo
'Wortels vereenvoudigen'.
| 2 havo/vwo | 5.3 Wortels herleiden |
opgave 1Herleid. 1p a \(\sqrt{50}\) FactorVoorWortelteken (1) 0086 - Wortels vereenvoudigen - basis a \(\sqrt{50}=\sqrt{25}⋅\sqrt{2}=5\sqrt{2}\text{.}\) 1p 1p b \(2\sqrt{63}\) FactorVoorWortelteken (2) 0087 - Wortels vereenvoudigen - basis b \(2\sqrt{63}=2⋅\sqrt{9}⋅\sqrt{7}=2⋅3⋅\sqrt{7}=6\sqrt{7}\text{.}\) 1p |
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| 3 havo | 5.4 Wortels herleiden |
opgave 1Herleid. 1p a \(\sqrt{\frac{25}{81}}\) BreukInWortel (1) 008b - Wortels vereenvoudigen - basis a \(\sqrt{\frac{25}{81}}={\sqrt{25} \over \sqrt{81}}=\frac{5}{9}\text{.}\) 1p 1p b \(\sqrt{1\frac{3}{49}}\) BreukInWortel (2) 008c - Wortels vereenvoudigen - basis b \(\sqrt{1\frac{3}{49}}=\sqrt{\frac{52}{49}}={\sqrt{52} \over \sqrt{49}}={\sqrt{52} \over 7}=\frac{1}{7}\sqrt{52}=\frac{1}{7}⋅2⋅\sqrt{13}=\frac{2}{7}\sqrt{13}\text{.}\) 1p |