unless it is a perfect cube one cannot do cube roots by hand without knowing calculus. Perfect cubes are easy to recognize with a bit of practice. one knows that 3*3*3 is 27 therefore the cube root of 27 is 3
This is a very easy method in your head in minutes.
You need a perfect cube.
First, you need to learn the cubes of nos 1-9.
(Ten is easy so no need to mention.)
They are
1-1
2-8
3-27
4-64
5-125
6-216
7-343
8-512
9-729
If you notice, each cube ends with a different number.Then, follow what is written below.
eg.970299
1)Split it into parts with 3 nos in it. 970 299
2)Take the group to the right.
See what it ends with. Compare it with the cube from 299=729=9
1-10. That is the last digit of the cube root.
3)Take the first group and see between which cubes it 970=between
lies. 729 & 1000 (9 & 10)
Take the smaller no. That is the first digit.
Thus 99 is the cube root of 970299.
You can check. This works till every number till 1 million.
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