Rekenen met wortels (reeks 1)

Hoofdmenu Eentje per keer  🖨

Reken uit

1. \(\sqrt{144}\)
2. \(\sqrt{320}\)
3. \(\sqrt{784}\)
4. \(\sqrt{50}\)
5. \(\sqrt{900}\)
6. \(\sqrt{216}\)
7. \(\sqrt{1296}\)
8. \(\sqrt{242}\)
9. \(\sqrt{100}\)
10. \(\sqrt{484}\)
11. \(\sqrt{24}\)
12. \(\sqrt{225}\)

---

Reken uit

Verbetersleutel

1. \(\sqrt{144}=12\)
2. \(\sqrt{320}=\sqrt{64 \cdot 5}=\sqrt{64}\cdot \sqrt{5}=8\sqrt{5}\)
3. \(\sqrt{784}=\sqrt{196 \cdot 4}=\sqrt{196} \cdot \sqrt{4}=14 \cdot 2=28\)
4. \(\sqrt{50}=\sqrt{25 \cdot 2}=\sqrt{25}\cdot \sqrt{2}=5\sqrt{2}\)
5. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
6. \(\sqrt{216}=\sqrt{36 \cdot 6}=\sqrt{36}\cdot \sqrt{6}=6\sqrt{6}\)
7. \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
8. \(\sqrt{242}=\sqrt{121 \cdot 2}=\sqrt{121}\cdot \sqrt{2}=11\sqrt{2}\)
9. \(\sqrt{100}=10\)
10. \(\sqrt{484}=\sqrt{121 \cdot 4}=\sqrt{121} \cdot \sqrt{4}=11 \cdot 2=22\)
11. \(\sqrt{24}=\sqrt{4 \cdot 6}=\sqrt{4}\cdot \sqrt{6}=2\sqrt{6}\)
12. \(\sqrt{225}=15\)