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.


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