Rekenen met wortels (reeks 2)

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1. \(\sqrt{3{,}24}\)
2. \(\sqrt{0{,}0036}\)
3. \(\sqrt{1{,}44}\)
4. \(\sqrt{1{,}69}\)
5. \(\sqrt{0{,}0025}\)
6. \(\sqrt{1{,}96}\)
7. \(\sqrt{0{,}0144}\)
8. \(\sqrt{0{,}16}\)
9. \(\sqrt{0{,}64}\)
10. \(\sqrt{0{,}0009}\)
11. \(\sqrt{2{,}56}\)
12. \(\sqrt{3{,}61}\)

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Verbetersleutel

1. \(\sqrt{3{,}24}=\sqrt{\frac{324 }{ 100}}=\frac{\sqrt{324}}{\sqrt{100}}=\frac{18}{10}=\frac{9}{5}\)
2. \(\sqrt{0{,}0036}=\sqrt{\frac{36 }{ 10000}}=\frac{\sqrt{36}}{\sqrt{10000}}=\frac{6}{100}=\frac{3}{50}\)
3. \(\sqrt{1{,}44}=\sqrt{\frac{144 }{ 100}}=\frac{\sqrt{144}}{\sqrt{100}}=\frac{12}{10}=\frac{6}{5}\)
4. \(\sqrt{1{,}69}=\sqrt{\frac{169 }{ 100}}=\frac{\sqrt{169}}{\sqrt{100}}=\frac{13}{10}=\frac{13}{10}\)
5. \(\sqrt{0{,}0025}=\sqrt{\frac{25 }{ 10000}}=\frac{\sqrt{25}}{\sqrt{10000}}=\frac{5}{100}=\frac{1}{20}\)
6. \(\sqrt{1{,}96}=\sqrt{\frac{196 }{ 100}}=\frac{\sqrt{196}}{\sqrt{100}}=\frac{14}{10}=\frac{7}{5}\)
7. \(\sqrt{0{,}0144}=\sqrt{\frac{144 }{ 10000}}=\frac{\sqrt{144}}{\sqrt{10000}}=\frac{12}{100}=\frac{3}{25}\)
8. \(\sqrt{0{,}16}=\sqrt{\frac{16 }{ 100}}=\frac{\sqrt{16}}{\sqrt{100}}=\frac{4}{10}=\frac{2}{5}\)
9. \(\sqrt{0{,}64}=\sqrt{\frac{64 }{ 100}}=\frac{\sqrt{64}}{\sqrt{100}}=\frac{8}{10}=\frac{4}{5}\)
10. \(\sqrt{0{,}0009}=\sqrt{\frac{9 }{ 10000}}=\frac{\sqrt{9}}{\sqrt{10000}}=\frac{3}{100}=\frac{3}{100}\)
11. \(\sqrt{2{,}56}=\sqrt{\frac{256 }{ 100}}=\frac{\sqrt{256}}{\sqrt{100}}=\frac{16}{10}=\frac{8}{5}\)
12. \(\sqrt{3{,}61}=\sqrt{\frac{361 }{ 100}}=\frac{\sqrt{361}}{\sqrt{100}}=\frac{19}{10}=\frac{19}{10}\)