Rekenen met wortels (reeks 2)

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1. \(\sqrt{2,89}\)
2. \(\sqrt{0,0361}\)
3. \(\sqrt{1,44}\)
4. \(\sqrt{2,56}\)
5. \(\sqrt{0,0289}\)
6. \(\sqrt{1,21}\)
7. \(\sqrt{0,0169}\)
8. \(\sqrt{0,0025}\)
9. \(\sqrt{0,81}\)
10. \(\sqrt{0,0009}\)
11. \(\sqrt{0,0081}\)
12. \(\sqrt{0,0004}\)

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Verbetersleutel

1. \(\sqrt{2,89}=\sqrt{\frac{289 }{ 100}}=\frac{\sqrt{289}}{\sqrt{100}}=\frac{17}{10}=\frac{17}{10}\)
2. \(\sqrt{0,0361}=\sqrt{\frac{361 }{ 10000}}=\frac{\sqrt{361}}{\sqrt{10000}}=\frac{19}{100}=\frac{19}{100}\)
3. \(\sqrt{1,44}=\sqrt{\frac{144 }{ 100}}=\frac{\sqrt{144}}{\sqrt{100}}=\frac{12}{10}=\frac{6}{5}\)
4. \(\sqrt{2,56}=\sqrt{\frac{256 }{ 100}}=\frac{\sqrt{256}}{\sqrt{100}}=\frac{16}{10}=\frac{8}{5}\)
5. \(\sqrt{0,0289}=\sqrt{\frac{289 }{ 10000}}=\frac{\sqrt{289}}{\sqrt{10000}}=\frac{17}{100}=\frac{17}{100}\)
6. \(\sqrt{1,21}=\sqrt{\frac{121 }{ 100}}=\frac{\sqrt{121}}{\sqrt{100}}=\frac{11}{10}=\frac{11}{10}\)
7. \(\sqrt{0,0169}=\sqrt{\frac{169 }{ 10000}}=\frac{\sqrt{169}}{\sqrt{10000}}=\frac{13}{100}=\frac{13}{100}\)
8. \(\sqrt{0,0025}=\sqrt{\frac{25 }{ 10000}}=\frac{\sqrt{25}}{\sqrt{10000}}=\frac{5}{100}=\frac{1}{20}\)
9. \(\sqrt{0,81}=\sqrt{\frac{81 }{ 100}}=\frac{\sqrt{81}}{\sqrt{100}}=\frac{9}{10}=\frac{9}{10}\)
10. \(\sqrt{0,0009}=\sqrt{\frac{9 }{ 10000}}=\frac{\sqrt{9}}{\sqrt{10000}}=\frac{3}{100}=\frac{3}{100}\)
11. \(\sqrt{0,0081}=\sqrt{\frac{81 }{ 10000}}=\frac{\sqrt{81}}{\sqrt{10000}}=\frac{9}{100}=\frac{9}{100}\)
12. \(\sqrt{0,0004}=\sqrt{\frac{4 }{ 10000}}=\frac{\sqrt{4}}{\sqrt{10000}}=\frac{2}{100}=\frac{1}{50}\)