Rekenen met wortels (reeks 1)

Hoofdmenu Eentje per keer  🖨

Reken uit

1. \(\sqrt{441}\)
2. \(\sqrt{405}\)
3. \(\sqrt{2025}\)
4. \(\sqrt{320}\)
5. \(\sqrt{36}\)
6. \(\sqrt{162}\)
7. \(\sqrt{3025}\)
8. \(\sqrt{225}\)
9. \(\sqrt{486}\)
10. \(\sqrt{900}\)
11. \(\sqrt{1936}\)
12. \(\sqrt{150}\)

---

Reken uit

Verbetersleutel

1. \(\sqrt{441}=\sqrt{49 \cdot 9}=\sqrt{49} \cdot \sqrt{9}=7 \cdot 3=21\)
2. \(\sqrt{405}=\sqrt{81 \cdot 5}=\sqrt{81}\cdot \sqrt{5}=9\sqrt{5}\)
3. \(\sqrt{2025}=\sqrt{81 \cdot 25}=\sqrt{81} \cdot \sqrt{25}=9 \cdot 5=45\)
4. \(\sqrt{320}=\sqrt{64 \cdot 5}=\sqrt{64}\cdot \sqrt{5}=8\sqrt{5}\)
5. \(\sqrt{36}=6\)
6. \(\sqrt{162}=\sqrt{81 \cdot 2}=\sqrt{81}\cdot \sqrt{2}=9\sqrt{2}\)
7. \(\sqrt{3025}=\sqrt{121 \cdot 25}=\sqrt{121} \cdot \sqrt{25}=11 \cdot 5=55\)
8. \(\sqrt{225}=15\)
9. \(\sqrt{486}=\sqrt{81 \cdot 6}=\sqrt{81}\cdot \sqrt{6}=9\sqrt{6}\)
10. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
11. \(\sqrt{1936}=\sqrt{484 \cdot 4}=\sqrt{121 \cdot 4 \cdot 4}=\sqrt{121} \cdot \sqrt{4} \cdot \sqrt{4}=11 \cdot 2 \cdot 2=44\)
12. \(\sqrt{150}=\sqrt{25 \cdot 6}=\sqrt{25}\cdot \sqrt{6}=5\sqrt{6}\)