Question

(2). Find the cube root of each of the
following numbers using the
successive subtraction methods.
1ooo​

Answer 1

Using the method of successive subtraction of numbers 1,7,19,37,61,91,127,169,217,271,331,397,..........
Examine if the following number is a perfect cube or not
792
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ANSWER
792-1=791, 791-7=784, 784-19= 765, 765-37=728, 728-61=667, 667-91=576, 576-127=449, 449-169=280,80-217=63.
The next number to be subtracted is 331 which is greater than 63.
The remainder got is not zero.
∴ 792 is not a perfect cube.

Answer 2

Answer:

1000-1= 999

999-7= 992

992-19 = 983

983-37= 946

946-61 = 885

885-91 = 794

794-127= 667

667-169 = 498

498-217 = 281

.......

DO IT LIKE THIS FURTHER SIMPLIFY

YOU WILL GET THE ANSWER

So the cube root is 10