A student is asked to find positive integer solutions to this equation:
2 * 3 √x = 5 √y
What is the smallest possible value of xy? (Please show working out, thank you.)
2 * 3 √x = 5 √y
6√x = 5√y
36x = 25y
Since 36 and 25 have no factors in common, we must have
x=25 and y=36