Find the cube roots of the following numbers by successive subtraction

1.	Find the cube roots of the following numbers by successive subtraction of numbers:1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, …(i) 64(ii) 512
Answer» (i) 64 64 – 1 = 63 63 – 7 = 56 56 – 19 =37 37 – 37 = 0 Here, subtraction is performed 4 times. Hence cube root of 64 is 4. (ii) 512 Let’s perform subtraction 512 – 1 = 511 511 – 7 = 504 504 – 19 = 485 485 – 37 = 448 448 – 61 = 387 387 – 91 = 296 296 – 127 = 169 169 – 169 = 0 Here, subtraction performed 8 times. Hence cube root of 512 is 8.

Find the cube roots of the following numbers by successive subtraction of numbers:1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, …(i) 64(ii) 512

Answer»

(i) 64

64 – 1 = 63

63 – 7 = 56

56 – 19 =37

37 – 37 = 0

Here, subtraction is performed 4 times.

Hence cube root of 64 is 4.

(ii) 512

Let’s perform subtraction

512 – 1 = 511

511 – 7 = 504

504 – 19 = 485

485 – 37 = 448

448 – 61 = 387

387 – 91 = 296

296 – 127 = 169

169 – 169 = 0

Here, subtraction performed 8 times.

Hence cube root of 512 is 8.