Rekenen met wortels (reeks 2)

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1. \(\sqrt{0{,}09}\)
2. \(\sqrt{0{,}25}\)
3. \(\sqrt{0{,}0225}\)
4. \(\sqrt{3{,}24}\)
5. \(\sqrt{0{,}0036}\)
6. \(\sqrt{0{,}0169}\)
7. \(\sqrt{0{,}0289}\)
8. \(\sqrt{1{,}96}\)
9. \(\sqrt{0{,}0009}\)
10. \(\sqrt{2{,}89}\)
11. \(\sqrt{0{,}36}\)
12. \(\sqrt{0{,}49}\)

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Verbetersleutel

1. \(\sqrt{0{,}09}=\sqrt{\frac{9 }{ 100}}=\frac{\sqrt{9}}{\sqrt{100}}=\frac{3}{10}=\frac{3}{10}\)
2. \(\sqrt{0{,}25}=\sqrt{\frac{25 }{ 100}}=\frac{\sqrt{25}}{\sqrt{100}}=\frac{5}{10}=\frac{1}{2}\)
3. \(\sqrt{0{,}0225}=\sqrt{\frac{225 }{ 10000}}=\frac{\sqrt{225}}{\sqrt{10000}}=\frac{15}{100}=\frac{3}{20}\)
4. \(\sqrt{3{,}24}=\sqrt{\frac{324 }{ 100}}=\frac{\sqrt{324}}{\sqrt{100}}=\frac{18}{10}=\frac{9}{5}\)
5. \(\sqrt{0{,}0036}=\sqrt{\frac{36 }{ 10000}}=\frac{\sqrt{36}}{\sqrt{10000}}=\frac{6}{100}=\frac{3}{50}\)
6. \(\sqrt{0{,}0169}=\sqrt{\frac{169 }{ 10000}}=\frac{\sqrt{169}}{\sqrt{10000}}=\frac{13}{100}=\frac{13}{100}\)
7. \(\sqrt{0{,}0289}=\sqrt{\frac{289 }{ 10000}}=\frac{\sqrt{289}}{\sqrt{10000}}=\frac{17}{100}=\frac{17}{100}\)
8. \(\sqrt{1{,}96}=\sqrt{\frac{196 }{ 100}}=\frac{\sqrt{196}}{\sqrt{100}}=\frac{14}{10}=\frac{7}{5}\)
9. \(\sqrt{0{,}0009}=\sqrt{\frac{9 }{ 10000}}=\frac{\sqrt{9}}{\sqrt{10000}}=\frac{3}{100}=\frac{3}{100}\)
10. \(\sqrt{2{,}89}=\sqrt{\frac{289 }{ 100}}=\frac{\sqrt{289}}{\sqrt{100}}=\frac{17}{10}=\frac{17}{10}\)
11. \(\sqrt{0{,}36}=\sqrt{\frac{36 }{ 100}}=\frac{\sqrt{36}}{\sqrt{100}}=\frac{6}{10}=\frac{3}{5}\)
12. \(\sqrt{0{,}49}=\sqrt{\frac{49 }{ 100}}=\frac{\sqrt{49}}{\sqrt{100}}=\frac{7}{10}=\frac{7}{10}\)