Rekenen met wortels (reeks 2)

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1. \(\sqrt{0,64}\)
2. \(\sqrt{0,04}\)
3. \(\sqrt{0,0009}\)
4. \(\sqrt{0,25}\)
5. \(\sqrt{0,0361}\)
6. \(\sqrt{3,61}\)
7. \(\sqrt{2,25}\)
8. \(\sqrt{1,44}\)
9. \(\sqrt{0,0169}\)
10. \(\sqrt{0,0016}\)
11. \(\sqrt{0,81}\)
12. \(\sqrt{0,0081}\)

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Verbetersleutel

1. \(\sqrt{0,64}=\sqrt{\frac{64 }{ 100}}=\frac{\sqrt{64}}{\sqrt{100}}=\frac{8}{10}=\frac{4}{5}\)
2. \(\sqrt{0,04}=\sqrt{\frac{4 }{ 100}}=\frac{\sqrt{4}}{\sqrt{100}}=\frac{2}{10}=\frac{1}{5}\)
3. \(\sqrt{0,0009}=\sqrt{\frac{9 }{ 10000}}=\frac{\sqrt{9}}{\sqrt{10000}}=\frac{3}{100}=\frac{3}{100}\)
4. \(\sqrt{0,25}=\sqrt{\frac{25 }{ 100}}=\frac{\sqrt{25}}{\sqrt{100}}=\frac{5}{10}=\frac{1}{2}\)
5. \(\sqrt{0,0361}=\sqrt{\frac{361 }{ 10000}}=\frac{\sqrt{361}}{\sqrt{10000}}=\frac{19}{100}=\frac{19}{100}\)
6. \(\sqrt{3,61}=\sqrt{\frac{361 }{ 100}}=\frac{\sqrt{361}}{\sqrt{100}}=\frac{19}{10}=\frac{19}{10}\)
7. \(\sqrt{2,25}=\sqrt{\frac{225 }{ 100}}=\frac{\sqrt{225}}{\sqrt{100}}=\frac{15}{10}=\frac{3}{2}\)
8. \(\sqrt{1,44}=\sqrt{\frac{144 }{ 100}}=\frac{\sqrt{144}}{\sqrt{100}}=\frac{12}{10}=\frac{6}{5}\)
9. \(\sqrt{0,0169}=\sqrt{\frac{169 }{ 10000}}=\frac{\sqrt{169}}{\sqrt{10000}}=\frac{13}{100}=\frac{13}{100}\)
10. \(\sqrt{0,0016}=\sqrt{\frac{16 }{ 10000}}=\frac{\sqrt{16}}{\sqrt{10000}}=\frac{4}{100}=\frac{1}{25}\)
11. \(\sqrt{0,81}=\sqrt{\frac{81 }{ 100}}=\frac{\sqrt{81}}{\sqrt{100}}=\frac{9}{10}=\frac{9}{10}\)
12. \(\sqrt{0,0081}=\sqrt{\frac{81 }{ 10000}}=\frac{\sqrt{81}}{\sqrt{10000}}=\frac{9}{100}=\frac{9}{100}\)