MathDB
AHSME 1950- the original problems

Source:

July 17, 2008

Problem Statement

After rationalizing the numerator of \frac {\sqrt{3}\minus{}\sqrt{2}}{\sqrt{3}}, the denominator in simplest form is:
<spanclass=latexbold>(A)</span> 3(3+2)<spanclass=latexbold>(B)</span> 3(32)<spanclass=latexbold>(C)</span> 332<spanclass=latexbold>(D)</span> 3+6<spanclass=latexbold>(E)</span> None of these answers<span class='latex-bold'>(A)</span>\ \sqrt{3}(\sqrt{3}+\sqrt{2}) \qquad <span class='latex-bold'>(B)</span>\ \sqrt{3}(\sqrt{3}-\sqrt{2}) \qquad <span class='latex-bold'>(C)</span>\ 3-\sqrt{3}\sqrt{2} \qquad\\ <span class='latex-bold'>(D)</span>\ 3+\sqrt6 \qquad <span class='latex-bold'>(E)</span>\ \text{None of these answers}