If m and n are positive integers and m^2 + n^2 = 10, what is the value of m^3 + n^3?	Choose the correct choice from the following options: A) 28 B) 224 C) 320 D) 512 E) 1,600
You need to integers which squared are equal 10.   Which could it be ? Let's start with the first integer:   1^2 = 1   2^2 = 4   3^2 = 9   Stop. The integers can't be greater than 3 or we will score above 10.   The second integer need to be picked up the same way.   1^2 = 1   2^2 = 4   3^2 = 9   The only pair that matches is 3^2 + 1^2 = 10.   So 3^3 + 1^3 = 28.   28nswer 28.)
<result>A</result>
If m and n are positive integers and m^2 + n^2 = 10, what is the value of m^3 + n^3?