Rekenen met wortels (reeks 2)

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1. \(\sqrt{1{,}69}\)
2. \(\sqrt{2{,}56}\)
3. \(\sqrt{0{,}0036}\)
4. \(\sqrt{3{,}24}\)
5. \(\sqrt{0{,}0225}\)
6. \(\sqrt{0{,}0081}\)
7. \(\sqrt{0{,}0004}\)
8. \(\sqrt{0{,}0009}\)
9. \(\sqrt{0{,}0256}\)
10. \(\sqrt{0{,}0049}\)
11. \(\sqrt{0{,}0169}\)
12. \(\sqrt{0{,}25}\)

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Verbetersleutel

1. \(\sqrt{1{,}69}=\sqrt{\frac{169 }{ 100}}=\frac{\sqrt{169}}{\sqrt{100}}=\frac{13}{10}=\frac{13}{10}\)
2. \(\sqrt{2{,}56}=\sqrt{\frac{256 }{ 100}}=\frac{\sqrt{256}}{\sqrt{100}}=\frac{16}{10}=\frac{8}{5}\)
3. \(\sqrt{0{,}0036}=\sqrt{\frac{36 }{ 10000}}=\frac{\sqrt{36}}{\sqrt{10000}}=\frac{6}{100}=\frac{3}{50}\)
4. \(\sqrt{3{,}24}=\sqrt{\frac{324 }{ 100}}=\frac{\sqrt{324}}{\sqrt{100}}=\frac{18}{10}=\frac{9}{5}\)
5. \(\sqrt{0{,}0225}=\sqrt{\frac{225 }{ 10000}}=\frac{\sqrt{225}}{\sqrt{10000}}=\frac{15}{100}=\frac{3}{20}\)
6. \(\sqrt{0{,}0081}=\sqrt{\frac{81 }{ 10000}}=\frac{\sqrt{81}}{\sqrt{10000}}=\frac{9}{100}=\frac{9}{100}\)
7. \(\sqrt{0{,}0004}=\sqrt{\frac{4 }{ 10000}}=\frac{\sqrt{4}}{\sqrt{10000}}=\frac{2}{100}=\frac{1}{50}\)
8. \(\sqrt{0{,}0009}=\sqrt{\frac{9 }{ 10000}}=\frac{\sqrt{9}}{\sqrt{10000}}=\frac{3}{100}=\frac{3}{100}\)
9. \(\sqrt{0{,}0256}=\sqrt{\frac{256 }{ 10000}}=\frac{\sqrt{256}}{\sqrt{10000}}=\frac{16}{100}=\frac{4}{25}\)
10. \(\sqrt{0{,}0049}=\sqrt{\frac{49 }{ 10000}}=\frac{\sqrt{49}}{\sqrt{10000}}=\frac{7}{100}=\frac{7}{100}\)
11. \(\sqrt{0{,}0169}=\sqrt{\frac{169 }{ 10000}}=\frac{\sqrt{169}}{\sqrt{10000}}=\frac{13}{100}=\frac{13}{100}\)
12. \(\sqrt{0{,}25}=\sqrt{\frac{25 }{ 100}}=\frac{\sqrt{25}}{\sqrt{100}}=\frac{5}{10}=\frac{1}{2}\)