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Approximating radicals (Posted on 2015-02-17) Difficulty: 3 of 5
You can approximate irrational square roots with rational numbers using linear interpolation between the integers as follows:

√1 = 1
√2 ≈ 4/3
√3 ≈ 5/3
√4 = 2
√5 ≈ 11/5
√6 ≈ 12/5
√7 ≈ 13/5
√8 ≈ 14/5
√9 = 3
etc...

How good an approximation is this?
For large numbers, might the previous or next fraction be a better approximation?

No Solution Yet Submitted by Jer    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
ClarificationJer2015-02-18 21:59:23
Some ThoughtsMore thoughtsbroll2015-02-17 21:01:15
More thoughtsJayDeeKay2015-02-17 18:32:48
Some ThoughtsdiscussionCharlie2015-02-17 16:31:49
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