Properties of Perfect Square:
No perfect square ends with 2,3,7,8.
No perfect square ends with odd number of zeroes
Perfect square consisting of (n-1) or n digits will have n/2 digits in its root, 'n' is being an even positive integer
The square of any even number is a multiple of 4 while that of an odd number exceeds a multiple of 4 by 1.
Properties of Cube roots:
If a cube of a number ends in 1,4,5,6,9 and 0, then its cube root also ends in 1,4,5,6,9, and 0 respectively.
If the cube of a number ends in 2 and 8, then its cube root will end in 8 and 2 respectively.
If the cube of a number ends in 3 and 7, then its cube root will end in 7 and 3 respectively.
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