To figure x^2 without multiplying (x*x)

Added by William DeRieux on November 11, 2000 at 13:48:38:

Intended for use when base is a large number

x^2 = (x/[exponent])*(x+x), when x is even

x^2 = x * (x+1) - x, when x is odd

576^2= (576/2) *(576+576) = 288 * (1152) = 331776
576^2 = 331776

573^2 = 573 * (573+1) - 573 = 573 * 574 - 573
3238902 - 573
= 328329
573^2 = 328329

Now this may seem like more work but it will help to explain the mechanical action behind powers and roots.

Please if you have any inpute on how to calulate
x^3 for both even and odd numbers email me.

Thanks William