Rekenen met wortels (reeks 1)

Hoofdmenu Eentje per keer  🖨

Reken uit

1. \(\sqrt{640}\)
2. \(\sqrt{100}\)
3. \(\sqrt{1089}\)
4. \(\sqrt{245}\)
5. \(\sqrt{144}\)
6. \(\sqrt{250}\)
7. \(\sqrt{242}\)
8. \(\sqrt{324}\)
9. \(\sqrt{2304}\)
10. \(\sqrt{196}\)
11. \(\sqrt{108}\)
12. \(\sqrt{12}\)

---

Reken uit

Verbetersleutel

1. \(\sqrt{640}=\sqrt{64 \cdot 10}=\sqrt{64}\cdot \sqrt{10}=8\sqrt{10}\)
2. \(\sqrt{100}=10\)
3. \(\sqrt{1089}=\sqrt{121 \cdot 9}=\sqrt{121} \cdot \sqrt{9}=11 \cdot 3=33\)
4. \(\sqrt{245}=\sqrt{49 \cdot 5}=\sqrt{49}\cdot \sqrt{5}=7\sqrt{5}\)
5. \(\sqrt{144}=12\)
6. \(\sqrt{250}=\sqrt{25 \cdot 10}=\sqrt{25}\cdot \sqrt{10}=5\sqrt{10}\)
7. \(\sqrt{242}=\sqrt{121 \cdot 2}=\sqrt{121}\cdot \sqrt{2}=11\sqrt{2}\)
8. \(\sqrt{324}=18\)
9. \(\sqrt{2304}=\sqrt{576 \cdot 4}=\sqrt{144 \cdot 4 \cdot 4}=\sqrt{144} \cdot \sqrt{4} \cdot \sqrt{4}=12 \cdot 2 \cdot 2=48\)
10. \(\sqrt{196}=14\)
11. \(\sqrt{108}=\sqrt{36 \cdot 3}=\sqrt{36}\cdot \sqrt{3}=6\sqrt{3}\)
12. \(\sqrt{12}=\sqrt{4 \cdot 3}=\sqrt{4}\cdot \sqrt{3}=2\sqrt{3}\)