document.write( "Question 250761: how do you find a non-perfect square root.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #184626 by drk(1908)![]() ![]() ![]() 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( " \n" ); document.write( "The estimate is A +- b/2a. \n" ); document.write( "--- \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. \n" ); document.write( "--- \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. \n" ); document.write( "--- \n" ); document.write( "Now, practice on your own. \n" ); document.write( " \n" ); document.write( " |