find cube root without calculator
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Answers:[ The cube root of a number x ] = z, written x^(1/3) = z, implies that number which when cubed produces x. e.g. 8^(1/3) = 2 because 2 cubed = 8 e.g. 27^(1/3) = 3 because 3 cubed = 27 On a simple calculator, you would methodically use trial and error to find cube roots of numbers between 8 and 27; but you would know that those cube roots would be between 2 and 3. You would try 2.5 cubed and see if that was larger or smaller than your number between 8 and 27. If larger, then your next trial would be a number smaller than your trial 2.5, say 2.25 (halfway between 2 and 2.5) etc.
Answers:This site explains three different ways to do it: http://www.homeschoolmath.net/teaching/square-root-algorithm.php
Answers:The limit DOES exist: you must use L'Hopital's rule to calculate the limit since it has the form of 0/0. The rule says that the limit of f(x)/g(x) = limit of f'(x)/g'(x). Just find the first order derivatives and you will see that the limit is pretty defined. Thus we have (1/3*x^-2/3)/(1/2*x^-1/2) => 2/3
Answers:ask and ye shall receive. http://www.homeschoolmath.net/teaching/square-root-algorithm.php i used to be able to do it, but i'm afraid i've forgotten. i do remember that it's somewhat similar to long division.