Rekenen met wortels (reeks 1)

Hoofdmenu Eentje per keer  🖨

Reken uit

1. \(\sqrt{242}\)
2. \(\sqrt{360}\)
3. \(\sqrt{324}\)
4. \(\sqrt{400}\)
5. \(\sqrt{1936}\)
6. \(\sqrt{576}\)
7. \(\sqrt{8}\)
8. \(\sqrt{36}\)
9. \(\sqrt{900}\)
10. \(\sqrt{48}\)
11. \(\sqrt{12}\)
12. \(\sqrt{1089}\)

---

Reken uit

Verbetersleutel

1. \(\sqrt{242}=\sqrt{121 \cdot 2}=\sqrt{121}\cdot \sqrt{2}=11\sqrt{2}\)
2. \(\sqrt{360}=\sqrt{36 \cdot 10}=\sqrt{36}\cdot \sqrt{10}=6\sqrt{10}\)
3. \(\sqrt{324}=18\)
4. \(\sqrt{400}=20\)
5. \(\sqrt{1936}=\sqrt{484 \cdot 4}=\sqrt{121 \cdot 4 \cdot 4}=\sqrt{121} \cdot \sqrt{4} \cdot \sqrt{4}=11 \cdot 2 \cdot 2=44\)
6. \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
7. \(\sqrt{8}=\sqrt{4 \cdot 2}=\sqrt{4}\cdot \sqrt{2}=2\sqrt{2}\)
8. \(\sqrt{36}=6\)
9. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
10. \(\sqrt{48}=\sqrt{16 \cdot 3}=\sqrt{16}\cdot \sqrt{3}=4\sqrt{3}\)
11. \(\sqrt{12}=\sqrt{4 \cdot 3}=\sqrt{4}\cdot \sqrt{3}=2\sqrt{3}\)
12. \(\sqrt{1089}=\sqrt{121 \cdot 9}=\sqrt{121} \cdot \sqrt{9}=11 \cdot 3=33\)