how do i prove that the product of four adjacent positive integers cannot be a perfect square number?

hearts123
Nov 24, 2018

#1

#2**0 **

I don't think this proof is complete. When the multiplication of two numbers a and b results in a perfect square, a can be different from b.

example: a=2, b=8. a*b=2*8=16=4^{2}.

HelloWorld
Nov 24, 2018