Rekenen met wortels (reeks 1)

Hoofdmenu Eentje per keer  🖨

Reken uit

1. \(\sqrt{384}\)
2. \(\sqrt{192}\)
3. \(\sqrt{250}\)
4. \(\sqrt{144}\)
5. \(\sqrt{784}\)
6. \(\sqrt{288}\)
7. \(\sqrt{900}\)
8. \(\sqrt{150}\)
9. \(\sqrt{1000}\)
10. \(\sqrt{196}\)
11. \(\sqrt{200}\)
12. \(\sqrt{1936}\)

---

Reken uit

Verbetersleutel

1. \(\sqrt{384}=\sqrt{64 \cdot 6}=\sqrt{64}\cdot \sqrt{6}=8\sqrt{6}\)
2. \(\sqrt{192}=\sqrt{64 \cdot 3}=\sqrt{64}\cdot \sqrt{3}=8\sqrt{3}\)
3. \(\sqrt{250}=\sqrt{25 \cdot 10}=\sqrt{25}\cdot \sqrt{10}=5\sqrt{10}\)
4. \(\sqrt{144}=12\)
5. \(\sqrt{784}=\sqrt{196 \cdot 4}=\sqrt{196} \cdot \sqrt{4}=14 \cdot 2=28\)
6. \(\sqrt{288}=\sqrt{144 \cdot 2}=\sqrt{144}\cdot \sqrt{2}=12\sqrt{2}\)
7. \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
8. \(\sqrt{150}=\sqrt{25 \cdot 6}=\sqrt{25}\cdot \sqrt{6}=5\sqrt{6}\)
9. \(\sqrt{1000}=\sqrt{100 \cdot 10}=\sqrt{100}\cdot \sqrt{10}=10\sqrt{10}\)
10. \(\sqrt{196}=14\)
11. \(\sqrt{200}=\sqrt{100 \cdot 2}=\sqrt{100}\cdot \sqrt{2}=10\sqrt{2}\)
12. \(\sqrt{1936}=\sqrt{484 \cdot 4}=\sqrt{121 \cdot 4 \cdot 4}=\sqrt{121} \cdot \sqrt{4} \cdot \sqrt{4}=11 \cdot 2 \cdot 2=44\)