# Math Help - Perfect Square

1. ## Perfect Square

An intger is simultaniously a square & cube is of the form 7k or 7k+1

2. Originally Posted by Amit kumar
An intger is simultaniously a square & cube is of the form 7k or 7k+1
umm...are you asking a question? or are you telling us a fact?

3. He is asking to show that an integer that is a cube an a square at the same time either leaves 0 or remainder 1 upon division by zero.

Let $a = 7k,...,7k+6$ then $a^2 = 7k,7k+1,7k+2,7k+4$ and $a^3 = 7k,7k+1,7k+6$ the possible forms they have in common are $7k,7k+1$.