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No.........
26 is be the square root of 676
It is not a perfect square. 5-square = 25 6-square = 36 So there cannot be a perfect square between 25 and 36.
The integer is 26
Any integer ,n, to the 6th. power would be both a perfect square and a perfect cube: This is because (n2 )3 =n6 which is a perfect square and a perfect cube. Or course you could also write this as (n3 )2 =n6 06 = 0 16 = 1 26 = 64 etc.