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- \(\sqrt{1440}\)
- \(\sqrt{144}\)
- \(\sqrt{405}\)
- \(\sqrt{576}\)
- \(\sqrt{40}\)
- \(\sqrt{900}\)
- \(\sqrt{96}\)
- \(\sqrt{196}\)
- \(\sqrt{18}\)
- \(\sqrt{125}\)
- \(\sqrt{810}\)
- \(\sqrt{324}\)
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Verbetersleutel
- \(\sqrt{1440}=\sqrt{144 \cdot 10}=\sqrt{144}\cdot \sqrt{10}=12\sqrt{10}\)
- \(\sqrt{144}=12\)
- \(\sqrt{405}=\sqrt{81 \cdot 5}=\sqrt{81}\cdot \sqrt{5}=9\sqrt{5}\)
- \(\sqrt{576}=\sqrt{144 \cdot 4}=\sqrt{144} \cdot \sqrt{4}=12 \cdot 2=24\)
- \(\sqrt{40}=\sqrt{4 \cdot 10}=\sqrt{4}\cdot \sqrt{10}=2\sqrt{10}\)
- \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
- \(\sqrt{96}=\sqrt{16 \cdot 6}=\sqrt{16}\cdot \sqrt{6}=4\sqrt{6}\)
- \(\sqrt{196}=14\)
- \(\sqrt{18}=\sqrt{9 \cdot 2}=\sqrt{9}\cdot \sqrt{2}=3\sqrt{2}\)
- \(\sqrt{125}=\sqrt{25 \cdot 5}=\sqrt{25}\cdot \sqrt{5}=5\sqrt{5}\)
- \(\sqrt{810}=\sqrt{81 \cdot 10}=\sqrt{81}\cdot \sqrt{10}=9\sqrt{10}\)
- \(\sqrt{324}=18\)