Q. 65.0( 2 Votes )

# How to find cube

Answer :

Method of successive subtraction to find the cube root:

1) We Subtract the numbers 1, 7 ,19 ,37, 61, 91,… successively from the given number untill we get zero.

2) The count of subtractions will give the cube root of the number.

3) The nth term of sequence 1, 7, 19, 37, 61, 91,… is

an = 1 + 3n(n – 1)

Example:

Take 64

64 – 1 = 63

63 – 7 = 56

56 – 19 = 37

37 – 37 = 4

As, subtraction is done four times, cube root of 64 is 4.

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