Verified answer

Answer:

i) 64

We have,

64–1=63

63–7=56

56–19=37

37–37=0

Subtraction is performed 4 times.

Hence, cube root of 64 is 4.

(ii) 512

We have,

512–1=511

511–7=504

504–19=485

485–37=448

448–61=387

387–91=296

296–127=169

169–169=0

Subtraction is performed 8 times.

Hence, cube root of 512 is 8.

(iii) 1728

We have,

1728–1=1727

1727–7=1720

1720–19=1701

1701–37=1664

1664–91=1512

1512–127=1385

1385–169=1216

1216–217=999

999–271=728

728–331=397

397–397=0

Subtraction is performed 12 times.

Hence, cube root of 1728 is 12.