KVPY2013MathematicsBasics of Mathematics
If a, b are natural numbers such that 2013+a²=b² , then the minimum possible value of a b is
Options
- A671
- B668
- C658
- D645
Correct answer
C. 658
Step-by-step solution
(b-a)(b+a)=2013=3 11 61ab minimum when b-a=33 array l b+a=61 a=14 array a b=14 47=658