document.write( "Question 250761: how do you find a non-perfect square root.
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Algebra.Com's Answer #184626 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
Here is a pretty cool Babylonian system:
\n" ); document.write( "Let the number you are given be N.
\n" ); document.write( "We want sqrt(N).
\n" ); document.write( "N can be expressed as a^2 +-b.
\n" ); document.write( "\"sqrt%28N%29+=+sqrt%28a%5E2%2B-b%29\"
\n" ); document.write( "The estimate is A +- b/2a.
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\n" ); document.write( "ex: sqrt(20)
\n" ); document.write( "srt(20) = sqrt(4^2 + 4)
\n" ); document.write( "sqrt(20) ~ 4 + 4 / 2*4 ~ 4 + 1/2 ~ 4.5.
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\n" ); document.write( "ex: sqrt(53)
\n" ); document.write( "sqrt(53) = sqrt (7^2 + 4)
\n" ); document.write( "sqrt(53) ~ 7 + 4 / 2*7 ~ 7 + 2/7 ~ 7.28.
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\n" ); document.write( "Now, practice on your own.
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