Rekenen met wortels (reeks 2)

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1. \(\sqrt{0,0004}\)
2. \(\sqrt{3,61}\)
3. \(\sqrt{0,0064}\)
4. \(\sqrt{0,0009}\)
5. \(\sqrt{0,64}\)
6. \(\sqrt{0,0016}\)
7. \(\sqrt{0,09}\)
8. \(\sqrt{0,0196}\)
9. \(\sqrt{1,44}\)
10. \(\sqrt{0,0225}\)
11. \(\sqrt{0,25}\)
12. \(\sqrt{3,24}\)

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Verbetersleutel

1. \(\sqrt{0,0004}=\sqrt{\frac{4 }{ 10000}}=\frac{\sqrt{4}}{\sqrt{10000}}=\frac{2}{100}=\frac{1}{50}\)
2. \(\sqrt{3,61}=\sqrt{\frac{361 }{ 100}}=\frac{\sqrt{361}}{\sqrt{100}}=\frac{19}{10}=\frac{19}{10}\)
3. \(\sqrt{0,0064}=\sqrt{\frac{64 }{ 10000}}=\frac{\sqrt{64}}{\sqrt{10000}}=\frac{8}{100}=\frac{2}{25}\)
4. \(\sqrt{0,0009}=\sqrt{\frac{9 }{ 10000}}=\frac{\sqrt{9}}{\sqrt{10000}}=\frac{3}{100}=\frac{3}{100}\)
5. \(\sqrt{0,64}=\sqrt{\frac{64 }{ 100}}=\frac{\sqrt{64}}{\sqrt{100}}=\frac{8}{10}=\frac{4}{5}\)
6. \(\sqrt{0,0016}=\sqrt{\frac{16 }{ 10000}}=\frac{\sqrt{16}}{\sqrt{10000}}=\frac{4}{100}=\frac{1}{25}\)
7. \(\sqrt{0,09}=\sqrt{\frac{9 }{ 100}}=\frac{\sqrt{9}}{\sqrt{100}}=\frac{3}{10}=\frac{3}{10}\)
8. \(\sqrt{0,0196}=\sqrt{\frac{196 }{ 10000}}=\frac{\sqrt{196}}{\sqrt{10000}}=\frac{14}{100}=\frac{7}{50}\)
9. \(\sqrt{1,44}=\sqrt{\frac{144 }{ 100}}=\frac{\sqrt{144}}{\sqrt{100}}=\frac{12}{10}=\frac{6}{5}\)
10. \(\sqrt{0,0225}=\sqrt{\frac{225 }{ 10000}}=\frac{\sqrt{225}}{\sqrt{10000}}=\frac{15}{100}=\frac{3}{20}\)
11. \(\sqrt{0,25}=\sqrt{\frac{25 }{ 100}}=\frac{\sqrt{25}}{\sqrt{100}}=\frac{5}{10}=\frac{1}{2}\)
12. \(\sqrt{3,24}=\sqrt{\frac{324 }{ 100}}=\frac{\sqrt{324}}{\sqrt{100}}=\frac{18}{10}=\frac{9}{5}\)