Question 83
What is the smallest natural number that has to be subtracted from 4100 so as to get a number that is both a perfect square as well as a perfect cube?
Solution
The smallest number that is a perfect square as well as a perfect cube is $$2^6 = 64$$.
$$64^2$$ = 4096
So, 4100 - 4096 = 4 has to be subtracted from 4100 to get a number that is a perfect square as well as a perfect cube.
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