Question

7. Find the cube root of the following by successive
subtraction of the numbers.
a) 729
​

Answer 1

Answer:

Sorry I didn't know okkk

Answer 2

Answer:

Method of successive subtractions of numbers -

We subtract the numbers 1,7,19,37,91,127,169...successively till we get "0".

The numbers 1,7,19,37....are obtained by applying the formula

1 + n x ( n - 1 ) x 3

NOW cube root of 729

729 - 1 = 728

728- 7 = 721

721 - 19 = 702

702 - 37 = 665

665-61= 604

604 - 91= 513

513- 127 = 386

386-169 = 217

217-217 =0

The number of subtractions to get 0 is 9

hence cube root of 729 is 9