If m and n are positive integers and m^2 + n^2 = 58, what is the value of m^3 + n^3? Options:
A) 72	B) 224	C) 370	D) 512	E) 1,600
You need to integers which squared are equal 58.   Which could it be ? Let's start with the first integer:   1^2 = 1   2^2 = 4   3^2 = 9   4^2 = 16   5^2 = 25   6^2 = 36   7^2 = 49   Stop. The integers can't be greater than 7 or we will score above 58.   The second integer need to be picked up the same way.   1^2 = 1   2^2 = 4   3^2 = 9   4^2 = 16   5^2 = 25   6^2 = 36   7^2 = 49   The only pair that matches is 7^2 + 3^2 = 58.   So 7^3 + 3^3 = 370.   Answer 370.)
<result>C</result>
If m and n are positive integers and m^2 + n^2 = 58, what is the value of m^3 + n^3?