Rekenen met wortels (reeks 2)

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1. \(\sqrt{0,0324}\)
2. \(\sqrt{0,0289}\)
3. \(\sqrt{0,0049}\)
4. \(\sqrt{0,0225}\)
5. \(\sqrt{3,61}\)
6. \(\sqrt{2,56}\)
7. \(\sqrt{0,0169}\)
8. \(\sqrt{0,09}\)
9. \(\sqrt{2,25}\)
10. \(\sqrt{0,25}\)
11. \(\sqrt{3,24}\)
12. \(\sqrt{0,0009}\)

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Verbetersleutel

1. \(\sqrt{0,0324}=\sqrt{\frac{324 }{ 10000}}=\frac{\sqrt{324}}{\sqrt{10000}}=\frac{18}{100}=\frac{9}{50}\)
2. \(\sqrt{0,0289}=\sqrt{\frac{289 }{ 10000}}=\frac{\sqrt{289}}{\sqrt{10000}}=\frac{17}{100}=\frac{17}{100}\)
3. \(\sqrt{0,0049}=\sqrt{\frac{49 }{ 10000}}=\frac{\sqrt{49}}{\sqrt{10000}}=\frac{7}{100}=\frac{7}{100}\)
4. \(\sqrt{0,0225}=\sqrt{\frac{225 }{ 10000}}=\frac{\sqrt{225}}{\sqrt{10000}}=\frac{15}{100}=\frac{3}{20}\)
5. \(\sqrt{3,61}=\sqrt{\frac{361 }{ 100}}=\frac{\sqrt{361}}{\sqrt{100}}=\frac{19}{10}=\frac{19}{10}\)
6. \(\sqrt{2,56}=\sqrt{\frac{256 }{ 100}}=\frac{\sqrt{256}}{\sqrt{100}}=\frac{16}{10}=\frac{8}{5}\)
7. \(\sqrt{0,0169}=\sqrt{\frac{169 }{ 10000}}=\frac{\sqrt{169}}{\sqrt{10000}}=\frac{13}{100}=\frac{13}{100}\)
8. \(\sqrt{0,09}=\sqrt{\frac{9 }{ 100}}=\frac{\sqrt{9}}{\sqrt{100}}=\frac{3}{10}=\frac{3}{10}\)
9. \(\sqrt{2,25}=\sqrt{\frac{225 }{ 100}}=\frac{\sqrt{225}}{\sqrt{100}}=\frac{15}{10}=\frac{3}{2}\)
10. \(\sqrt{0,25}=\sqrt{\frac{25 }{ 100}}=\frac{\sqrt{25}}{\sqrt{100}}=\frac{5}{10}=\frac{1}{2}\)
11. \(\sqrt{3,24}=\sqrt{\frac{324 }{ 100}}=\frac{\sqrt{324}}{\sqrt{100}}=\frac{18}{10}=\frac{9}{5}\)
12. \(\sqrt{0,0009}=\sqrt{\frac{9 }{ 10000}}=\frac{\sqrt{9}}{\sqrt{10000}}=\frac{3}{100}=\frac{3}{100}\)