MathDB
square root sum

Source:

October 17, 2005
LaTeX

Problem Statement

The number of distinct pairs of integers (x,y)(x,y) such that 0 < x < y  \text{and}  \sqrt{1984} = \sqrt{x} + \sqrt{y} is
<spanclass=latexbold>(A)</span>0<spanclass=latexbold>(B)</span>1<spanclass=latexbold>(C)</span>2<spanclass=latexbold>(D)</span>3<spanclass=latexbold>(E)</span>7<span class='latex-bold'>(A) </span>0\qquad <span class='latex-bold'>(B) </span>1\qquad <span class='latex-bold'>(C) </span>2\qquad <span class='latex-bold'>(D) </span>3\qquad <span class='latex-bold'>(E) </span>7