Rekenen met wortels (reeks 1)

Hoofdmenu Eentje per keer  🖨

Reken uit

1. \(\sqrt{3600}\)
2. \(\sqrt{125}\)
3. \(\sqrt{294}\)
4. \(\sqrt{900}\)
5. \(\sqrt{100}\)
6. \(\sqrt{128}\)
7. \(\sqrt{864}\)
8. \(\sqrt{2025}\)
9. \(\sqrt{144}\)
10. \(\sqrt{180}\)
11. \(\sqrt{20}\)
12. \(\sqrt{400}\)

---

Reken uit

Verbetersleutel

1. \(\sqrt{3600}=\sqrt{36 \cdot 100}=\sqrt{36} \cdot \sqrt{100}=6 \cdot 10=60\)
2. \(\sqrt{125}=\sqrt{25 \cdot 5}=\sqrt{25}\cdot \sqrt{5}=5\sqrt{5}\)
3. \(\sqrt{294}=\sqrt{49 \cdot 6}=\sqrt{49}\cdot \sqrt{6}=7\sqrt{6}\)
4. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
5. \(\sqrt{100}=10\)
6. \(\sqrt{128}=\sqrt{64 \cdot 2}=\sqrt{64}\cdot \sqrt{2}=8\sqrt{2}\)
7. \(\sqrt{864}=\sqrt{144 \cdot 6}=\sqrt{144}\cdot \sqrt{6}=12\sqrt{6}\)
8. \(\sqrt{2025}=\sqrt{81 \cdot 25}=\sqrt{81} \cdot \sqrt{25}=9 \cdot 5=45\)
9. \(\sqrt{144}=12\)
10. \(\sqrt{180}=\sqrt{36 \cdot 5}=\sqrt{36}\cdot \sqrt{5}=6\sqrt{5}\)
11. \(\sqrt{20}=\sqrt{4 \cdot 5}=\sqrt{4}\cdot \sqrt{5}=2\sqrt{5}\)
12. \(\sqrt{400}=20\)