Rekenen met wortels (reeks 2)

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1. \(\sqrt{2{,}25}\)
2. \(\sqrt{3{,}61}\)
3. \(\sqrt{0{,}0004}\)
4. \(\sqrt{0{,}04}\)
5. \(\sqrt{1{,}96}\)
6. \(\sqrt{0{,}0289}\)
7. \(\sqrt{0{,}0025}\)
8. \(\sqrt{1{,}21}\)
9. \(\sqrt{0{,}64}\)
10. \(\sqrt{0{,}0049}\)
11. \(\sqrt{0{,}49}\)
12. \(\sqrt{3{,}24}\)

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Verbetersleutel

1. \(\sqrt{2{,}25}=\sqrt{\frac{225 }{ 100}}=\frac{\sqrt{225}}{\sqrt{100}}=\frac{15}{10}=\frac{3}{2}\)
2. \(\sqrt{3{,}61}=\sqrt{\frac{361 }{ 100}}=\frac{\sqrt{361}}{\sqrt{100}}=\frac{19}{10}=\frac{19}{10}\)
3. \(\sqrt{0{,}0004}=\sqrt{\frac{4 }{ 10000}}=\frac{\sqrt{4}}{\sqrt{10000}}=\frac{2}{100}=\frac{1}{50}\)
4. \(\sqrt{0{,}04}=\sqrt{\frac{4 }{ 100}}=\frac{\sqrt{4}}{\sqrt{100}}=\frac{2}{10}=\frac{1}{5}\)
5. \(\sqrt{1{,}96}=\sqrt{\frac{196 }{ 100}}=\frac{\sqrt{196}}{\sqrt{100}}=\frac{14}{10}=\frac{7}{5}\)
6. \(\sqrt{0{,}0289}=\sqrt{\frac{289 }{ 10000}}=\frac{\sqrt{289}}{\sqrt{10000}}=\frac{17}{100}=\frac{17}{100}\)
7. \(\sqrt{0{,}0025}=\sqrt{\frac{25 }{ 10000}}=\frac{\sqrt{25}}{\sqrt{10000}}=\frac{5}{100}=\frac{1}{20}\)
8. \(\sqrt{1{,}21}=\sqrt{\frac{121 }{ 100}}=\frac{\sqrt{121}}{\sqrt{100}}=\frac{11}{10}=\frac{11}{10}\)
9. \(\sqrt{0{,}64}=\sqrt{\frac{64 }{ 100}}=\frac{\sqrt{64}}{\sqrt{100}}=\frac{8}{10}=\frac{4}{5}\)
10. \(\sqrt{0{,}0049}=\sqrt{\frac{49 }{ 10000}}=\frac{\sqrt{49}}{\sqrt{10000}}=\frac{7}{100}=\frac{7}{100}\)
11. \(\sqrt{0{,}49}=\sqrt{\frac{49 }{ 100}}=\frac{\sqrt{49}}{\sqrt{100}}=\frac{7}{10}=\frac{7}{10}\)
12. \(\sqrt{3{,}24}=\sqrt{\frac{324 }{ 100}}=\frac{\sqrt{324}}{\sqrt{100}}=\frac{18}{10}=\frac{9}{5}\)