Rekenen met wortels (reeks 2)

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1. \(\sqrt{0,81}\)
2. \(\sqrt{0,0081}\)
3. \(\sqrt{0,0064}\)
4. \(\sqrt{0,49}\)
5. \(\sqrt{0,0361}\)
6. \(\sqrt{0,0036}\)
7. \(\sqrt{0,36}\)
8. \(\sqrt{0,0256}\)
9. \(\sqrt{0,04}\)
10. \(\sqrt{2,89}\)
11. \(\sqrt{0,0289}\)
12. \(\sqrt{1,44}\)

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Verbetersleutel

1. \(\sqrt{0,81}=\sqrt{\frac{81 }{ 100}}=\frac{\sqrt{81}}{\sqrt{100}}=\frac{9}{10}=\frac{9}{10}\)
2. \(\sqrt{0,0081}=\sqrt{\frac{81 }{ 10000}}=\frac{\sqrt{81}}{\sqrt{10000}}=\frac{9}{100}=\frac{9}{100}\)
3. \(\sqrt{0,0064}=\sqrt{\frac{64 }{ 10000}}=\frac{\sqrt{64}}{\sqrt{10000}}=\frac{8}{100}=\frac{2}{25}\)
4. \(\sqrt{0,49}=\sqrt{\frac{49 }{ 100}}=\frac{\sqrt{49}}{\sqrt{100}}=\frac{7}{10}=\frac{7}{10}\)
5. \(\sqrt{0,0361}=\sqrt{\frac{361 }{ 10000}}=\frac{\sqrt{361}}{\sqrt{10000}}=\frac{19}{100}=\frac{19}{100}\)
6. \(\sqrt{0,0036}=\sqrt{\frac{36 }{ 10000}}=\frac{\sqrt{36}}{\sqrt{10000}}=\frac{6}{100}=\frac{3}{50}\)
7. \(\sqrt{0,36}=\sqrt{\frac{36 }{ 100}}=\frac{\sqrt{36}}{\sqrt{100}}=\frac{6}{10}=\frac{3}{5}\)
8. \(\sqrt{0,0256}=\sqrt{\frac{256 }{ 10000}}=\frac{\sqrt{256}}{\sqrt{10000}}=\frac{16}{100}=\frac{4}{25}\)
9. \(\sqrt{0,04}=\sqrt{\frac{4 }{ 100}}=\frac{\sqrt{4}}{\sqrt{100}}=\frac{2}{10}=\frac{1}{5}\)
10. \(\sqrt{2,89}=\sqrt{\frac{289 }{ 100}}=\frac{\sqrt{289}}{\sqrt{100}}=\frac{17}{10}=\frac{17}{10}\)
11. \(\sqrt{0,0289}=\sqrt{\frac{289 }{ 10000}}=\frac{\sqrt{289}}{\sqrt{10000}}=\frac{17}{100}=\frac{17}{100}\)
12. \(\sqrt{1,44}=\sqrt{\frac{144 }{ 100}}=\frac{\sqrt{144}}{\sqrt{100}}=\frac{12}{10}=\frac{6}{5}\)