Getal & Ruimte (13e editie) - 3 havo
'Wortels vereenvoudigen'.
| 2 havo/vwo | 5.3 Wortels herleiden |
opgave 1Herleid. 1p a \(\sqrt{28}\) FactorVoorWortelteken (1) 0086 - Wortels vereenvoudigen - basis - 0ms a \(\sqrt{28}=\sqrt{4}⋅\sqrt{7}=2\sqrt{7}\text{.}\) 1p 1p b \(-7\sqrt{12}\) FactorVoorWortelteken (2) 0087 - Wortels vereenvoudigen - basis - 0ms b \(-7\sqrt{12}=-7⋅\sqrt{4}⋅\sqrt{3}=-7⋅2⋅\sqrt{3}=-14\sqrt{3}\text{.}\) 1p |
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| 3 havo | 5.4 Wortels herleiden |
opgave 1Herleid. 1p a \(\sqrt{1\frac{13}{36}}\) BreukInWortel (1) 008b - Wortels vereenvoudigen - basis - 68ms a \(\sqrt{1\frac{13}{36}}=\sqrt{\frac{49}{36}}={\sqrt{49} \over \sqrt{36}}=\frac{7}{6}=1\frac{1}{6}\text{.}\) 1p 1p b \(\sqrt{11\frac{1}{4}}\) BreukInWortel (2) 008c - Wortels vereenvoudigen - basis - 1ms b \(\sqrt{11\frac{1}{4}}=\sqrt{\frac{45}{4}}={\sqrt{45} \over \sqrt{4}}={\sqrt{45} \over 2}=\frac{1}{2}\sqrt{45}=\frac{1}{2}⋅3⋅\sqrt{5}=1\frac{1}{2}\sqrt{5}\text{.}\) 1p |