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- \(\sqrt{245}\)
- \(\sqrt{196}\)
- \(\sqrt{36}\)
- \(\sqrt{243}\)
- \(\sqrt{1296}\)
- \(\sqrt{900}\)
- \(\sqrt{864}\)
- \(\sqrt{45}\)
- \(\sqrt{605}\)
- \(\sqrt{18}\)
- \(\sqrt{640}\)
- \(\sqrt{75}\)
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Verbetersleutel
- \(\sqrt{245}=\sqrt{49 \cdot 5}=\sqrt{49}\cdot \sqrt{5}=7\sqrt{5}\)
- \(\sqrt{196}=14\)
- \(\sqrt{36}=6\)
- \(\sqrt{243}=\sqrt{81 \cdot 3}=\sqrt{81}\cdot \sqrt{3}=9\sqrt{3}\)
- \(\sqrt{1296}=\sqrt{324 \cdot 4}=\sqrt{324} \cdot \sqrt{4}=18 \cdot 2=36\)
- \(\sqrt{900}=\sqrt{9 \cdot 100}=\sqrt{9} \cdot \sqrt{100}=3 \cdot 10=30\)
- \(\sqrt{864}=\sqrt{144 \cdot 6}=\sqrt{144}\cdot \sqrt{6}=12\sqrt{6}\)
- \(\sqrt{45}=\sqrt{9 \cdot 5}=\sqrt{9}\cdot \sqrt{5}=3\sqrt{5}\)
- \(\sqrt{605}=\sqrt{121 \cdot 5}=\sqrt{121}\cdot \sqrt{5}=11\sqrt{5}\)
- \(\sqrt{18}=\sqrt{9 \cdot 2}=\sqrt{9}\cdot \sqrt{2}=3\sqrt{2}\)
- \(\sqrt{640}=\sqrt{64 \cdot 10}=\sqrt{64}\cdot \sqrt{10}=8\sqrt{10}\)
- \(\sqrt{75}=\sqrt{25 \cdot 3}=\sqrt{25}\cdot \sqrt{3}=5\sqrt{3}\)