Is 1188 a perfect cube? If not by which smallest natural number should 1188 be divided so that it becomes a perfect cube?also find the perfect cube so obtained and give its cube root?
Answers
Answered by
1
no=1188
it can be factorised as
1188=2*2*3*3*3*11
here only three appears in the form of triplet and we know that to have a no. as a perfect cube it must have all the no. in triplet
2*2*2*3*3*3*11*11*11=287496
now all the no. i.e.2,3,11 appears in triplet
so,287496 will be the perfect cube of 2*3*11=66
it can be factorised as
1188=2*2*3*3*3*11
here only three appears in the form of triplet and we know that to have a no. as a perfect cube it must have all the no. in triplet
2*2*2*3*3*3*11*11*11=287496
now all the no. i.e.2,3,11 appears in triplet
so,287496 will be the perfect cube of 2*3*11=66
Similar questions