Rekenen met wortels (reeks 2)

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1. \(\sqrt{2{,}56}\)
2. \(\sqrt{0{,}0256}\)
3. \(\sqrt{2{,}89}\)
4. \(\sqrt{0{,}36}\)
5. \(\sqrt{1{,}96}\)
6. \(\sqrt{0{,}64}\)
7. \(\sqrt{0{,}0036}\)
8. \(\sqrt{0{,}0009}\)
9. \(\sqrt{0{,}0225}\)
10. \(\sqrt{0{,}0081}\)
11. \(\sqrt{0{,}0049}\)
12. \(\sqrt{1{,}44}\)

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Verbetersleutel

1. \(\sqrt{2{,}56}=\sqrt{\frac{256 }{ 100}}=\frac{\sqrt{256}}{\sqrt{100}}=\frac{16}{10}=\frac{8}{5}\)
2. \(\sqrt{0{,}0256}=\sqrt{\frac{256 }{ 10000}}=\frac{\sqrt{256}}{\sqrt{10000}}=\frac{16}{100}=\frac{4}{25}\)
3. \(\sqrt{2{,}89}=\sqrt{\frac{289 }{ 100}}=\frac{\sqrt{289}}{\sqrt{100}}=\frac{17}{10}=\frac{17}{10}\)
4. \(\sqrt{0{,}36}=\sqrt{\frac{36 }{ 100}}=\frac{\sqrt{36}}{\sqrt{100}}=\frac{6}{10}=\frac{3}{5}\)
5. \(\sqrt{1{,}96}=\sqrt{\frac{196 }{ 100}}=\frac{\sqrt{196}}{\sqrt{100}}=\frac{14}{10}=\frac{7}{5}\)
6. \(\sqrt{0{,}64}=\sqrt{\frac{64 }{ 100}}=\frac{\sqrt{64}}{\sqrt{100}}=\frac{8}{10}=\frac{4}{5}\)
7. \(\sqrt{0{,}0036}=\sqrt{\frac{36 }{ 10000}}=\frac{\sqrt{36}}{\sqrt{10000}}=\frac{6}{100}=\frac{3}{50}\)
8. \(\sqrt{0{,}0009}=\sqrt{\frac{9 }{ 10000}}=\frac{\sqrt{9}}{\sqrt{10000}}=\frac{3}{100}=\frac{3}{100}\)
9. \(\sqrt{0{,}0225}=\sqrt{\frac{225 }{ 10000}}=\frac{\sqrt{225}}{\sqrt{10000}}=\frac{15}{100}=\frac{3}{20}\)
10. \(\sqrt{0{,}0081}=\sqrt{\frac{81 }{ 10000}}=\frac{\sqrt{81}}{\sqrt{10000}}=\frac{9}{100}=\frac{9}{100}\)
11. \(\sqrt{0{,}0049}=\sqrt{\frac{49 }{ 10000}}=\frac{\sqrt{49}}{\sqrt{10000}}=\frac{7}{100}=\frac{7}{100}\)
12. \(\sqrt{1{,}44}=\sqrt{\frac{144 }{ 100}}=\frac{\sqrt{144}}{\sqrt{100}}=\frac{12}{10}=\frac{6}{5}\)