What number would fill in the question mark?

36 would go in the question mark box. This is because you square each value from the left side to have it match up with the corresponding right side
7 squared = 7^2 = 7*7 = 49 is the upper left box
4 squared = 4^2 = 4*4 = 16 is the upper right box
5 squared = 5^2 = 5*5 = 25 is the lower left box
6 squared = 6^2 = 6*6 = 36 is the lower right box