Problema Solution
The positive integers x and y are the two smallest positive integers for which the product of 360 and x is a square and the product of 360 and y is a cube. What is the sum of x and y?
Answer provided by our tutors
take out prime factors of 360.. its 2,2,2,3,3,5.. so we need to multiply with 2*5=10 to make it perfect square.
and multiply with 3*3*5= 75 to make it perfect cube.
x= 10
y=75