SOLUTION: Cuberoot of 32.768 with steps.

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Question 983405: Cuberoot of 32.768 with steps.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39720) About Me  (Show Source):
You can put this solution on YOUR website!
Table of common logarithms could work well.

log%28%2832.768%5E%281%2F3%29%29%29
%281%2F3%29log%28%2832.768%29%29
%281%2F3%29log%28%283.2768%2A10%5E1%29%29
%281%2F3%29%28log%28%283.2768%29%29%2Blog%28%2810%5E1%29%29%29
%281%2F3%29%281%2Blog%28%283.2768%29%29%29
%281%2F3%29%281.51544%29
0.50514

Next, find antilog, base ten, of 0.50514, and find the final result to be near to 3.1999.

Answer by MathTherapy(10704) About Me  (Show Source):
You can put this solution on YOUR website!
Cuberoot of 32.768 with steps.

Cuberoot of 32.768 with steps.root+%283%2C+32.768%29

I don't know if the other person's answer helps much!! Maybe it does.....who knows!!  

1) Last digit of 32.768: 8. Because .2%5E3+=+.008, last digit of root+%283%2C+32.768%29 is .2.

2) Next, IGNORE last 3 digits, .768, and focus on the 1st 2, 32.

3) 32 falls between 3%5E3+=+27 and 4%5E3+=+64. But, because 4%5E3 is TOO LARGE, we choose 3 (matrix%281%2C2%2C+from%2C+3%5E3%29).
   This gives us 3 as the 1st digit of the root%283%2C+32.768%29.

4) Cube root of 32.768 (root%283%2C+32.768%29) = 3.2