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OpenStudy (anonymous):
Approximate sqrt(5) to 5 decimal places WITHOUT using a calculator
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OpenStudy (experimentx):
sqrt(5) = sqrt(1 + 4) = 2 sqrt(1 + 1/4) use binomail expansion
OpenStudy (experimentx):
http://www.wolframalpha.com/input/?i=2*+sum+%28%281%2F4%29%5En%2Fn%21*%28++product+%281%2F2-k%29+%2C+k%3D0+to+n-1+%29%29+%2C+n%3D0+to+Infinity http://www.wolframalpha.com/input/?i=2*+sum+%28%281%2F4%29%5En%2Fn%21*%28++product+%281%2F2-k%29+%2C+k%3D0+to+n-1+%29%29+%2C+n%3D0+to+11
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