Question

If $x^2=k{y}^2$, where x and y are whole numbers, then which of the following is always true?

• A. x>y
• B. x<y
• C. k is an integer
• D. k is a non negative number

Answer 1

The correct option is D

k is a non negative number

x and y are related by k, where k can be less than or greater than 1, so nothing can be said about x and y. Since $x^2$ and $y^2$ are greater than or equal to zero then k is a non-negative number.