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Question

Find the smallest number that must be subtracted from those of the numbers in question 2, which are not perfect cubes, to make them perfect cubes. What are the coresponding cube roots?
 


Solution

We have examined in question 2, the numbers 130, 345 and 792 are not perfect cubes. therefore
(i)1301301=1291297=12212219=10310337=666661=5
here 5 is left 5<9
  5 is to be subtracted to get a perfect cube 
Cube root of 130 - 5 = 125 is 5
(i)3453451=3443447=33733719=31831837=28128161=22022091=129129127=2
Here 2 is left2<169
Cube root of 3452=343is7
2 is to be subtracted to get a perfect cube 
(iii)7927921=7917917=78478419=76576537=72872861=66766791=576576127=449449169=280280217=6363<217                                                                               63 is to be subtracted 
Cube root of 792 - 63 = 729 is 9      


Mathematics
RD Sharma
Standard VIII

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