MathDB

10

Part of 1950 AMC 12/AHSME

Problems(1)

AHSME 1950- the original problems

Source:

7/17/2008
After rationalizing the numerator of \frac {\sqrt{3}\minus{}\sqrt{2}}{\sqrt{3}}, the denominator in simplest form is:
<spanclass=′latex−bold′>(A)</span> 3(3+2)<spanclass=′latex−bold′>(B)</span> 3(3−2)<spanclass=′latex−bold′>(C)</span> 3−32<spanclass=′latex−bold′>(D)</span> 3+6<spanclass=′latex−bold′>(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}