The product of two consecutive square numbers is 900. What is the sum of these two numbers? What is an easy way to solve this

900 = 22 x 32 x 52 900 = 22 x 32 x 52. There is only a limited number of options to build squares out of these factors. You can try them all, but in fact it is easy to see that the solution to your problem is p = 22 x 32 = 36 p = 22 x 32 = 36 and Q = 52 = 25 Q = 52 = 25. Their sum is 61.