Can you manually compute cube root like you do square root?
I'm not sure what you mean by manually computing a cube root. Actually to be honest, I'm not sure what you mean by manually computing a square root either...
What method do you use to compute square roots? I know of several, but none of which I would do manually...
To take a "cube root" of a number, we seek another number, that when multiplied by itself 3 total times, is equal to the original number.
(Quick notation: Taking the cube root of "x" is the same as saying, x^(1/3))
As an example, if we are looking for the cube root of 8, we have to think about a number multiplied by itself three times, that is equal to 8.
In this example, since 2*2*2 = 8, we say that 2 is the cube root of 8 (or also 8^(1/3) = 2).
Does this make a little more sense?
Yes, but most algorithms will have that many calculations of decimal values (and some even include divisions - a complete nightmare) making it necessary to use a calculator at some point.
This is why I asked, what is the algorithm you use for manually calculating square roots. Just out of my own interest
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I sort of remember being taught this technique back in the 50's, but it was inefficient even then: logs (and slide rules) were quicker and less prone to error. I can't imagine teaching it in an age of cheap, reliable calculators.