Question

Find the cuberoot of 1728 using succesive subtraction method

Answer 1

cube root by successive subtraction
step-1) 1728-1=1727
step-2) 1727-7=1720
step-3) 1720-19=1701
step-4) 1701-37=1664
step-5) 1664-61=1603
step-6) 1603-91=1512
step-7) 1512-127=1385
step-8) 1385-169=1216
step-9) 1216-217=999
step-10) 999-271=728
step-11) 728-331=397
step-12) 397-397=0

total step = 12

so, cube root of 1728 is 12