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Approximating Irrational Numbers - Tutorial - Part 1 - Level H Let's try to find a rational approximation for sqrt2.

Approximating Irrational Numbers - Tutorial - Part 11 - Level H\newlineLet's try to find a rational approximation for 2 \sqrt{2} .

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Pascal's triangle and the Binomial Theoremright chevron icon

Full solution

Q. Approximating Irrational Numbers - Tutorial - Part 11 - Level H\newlineLet's try to find a rational approximation for 2 \sqrt{2} .
  1. Identify fraction: Identify a simple fraction close to 2\sqrt{2}.
  2. Check square of 32\frac{3}{2}: Check the square of 32\frac{3}{2} to see how close it is to 22.
  3. Try slightly less fraction: Try a fraction slightly less than 32\frac{3}{2}.
  4. Check square of 75\frac{7}{5}: Check the square of 75\frac{7}{5} to see how close it is to 22.
  5. Compare fractions: Compare which fraction is closer to 2\sqrt{2}.

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