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Problem 3

The √2-1.4142135... This expansion is not exact (a finite decimal expansion cannot give the exact
5
10,000,000
10,000,000
14,142,135 is close to √2 and in fact, is within
(or half the size of the
answer). The fraction
denominator); however, the denominator is too large. There are fractions that match this
approximating power with much smaller denominators.
Part A: Find the fraction with the smallest denominator that matches √2 to three places.

User Kintela
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1 Answer

15 votes
15 votes

Answer:

5,000,000^2

Explanation:

half of 10,000,000 sqrt of 2

User DominikHelps
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