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Verified Answer :

If an integer is both a square and a cube, it can be of the form:
(a3)^2

Now,
since a cube can be of the form 7k or 7k+-1(thanks to FoolForMath),
 we write
a^3=7k

and get the no to be
49k^2
, which is in the form of 7 times something

49k^2=7×(7k^2)

Now put

a^3=7k+−1
Square it
and you'll get a number in the form of (7times something +1)