Can you convince me of each of
the following:
If a square number is multiplied by a square number the product is ALWAYS a square number.
If a square number is divided by a square number the quotient is ALWAYS a square number.
No number terminating in 2,3,7, or 8 is a perfect square.
A number ending in 5 cannot be a perfect square unless the digit in the ten's column is a 2.
The square of any number is equal to for example:
102 = 92 + 9 + 10