Square as well as cube !!!!
There are nos. which can be expressed as a perfect square as well as a perfect cube...like 1,64,729 etc.
Can you tell me how many trailing zeroes does 100th such number has???
Notes:
68700 has 2 trailing zeroes whereas 68707 has none!!!
Plz also tell what these types of numbers are called!!!!
The answer is 12.
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1 solution
Such number can be expressed as :
a 3 = b 2
Such number is only possible only if a is a perfect square and b can be written as : a*c, where c is sq.root. of a (I don't know how to explain this to you so apply your common sense)
Now for 100th such no, a will be 100^2 = 10000
Now the no will be a 3 = 1 0 0 0 0 3 = 1 0 0 0 0 0 0 0 0 0 0 0 0
Thereby number of trailing zeroes = 1 2