MathNet 2024-part-05 — 168 problems (EN–VI) Question 138

Positive integers $x$ and $y$ satisfy the equation $\sqrt{x} + \sqrt{y} = \sqrt{1183}$. What is the minimum possible value of $x + y$?
(A) 585 (B) 595 (C) 623 (D) 700 (E) 791