Difference between revisions of "1952 AHSME Problems/Problem 35"

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== Solution ==
 
== Solution ==
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Let <math>k=\sqrt{2}+\sqrt{3}</math>
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Then <math></math>
 
<math>\fbox{}</math>
 
<math>\fbox{}</math>
  

Revision as of 08:50, 1 May 2016

Problem

With a rational denominator, the expression $\frac {\sqrt {2}}{\sqrt {2} + \sqrt {3} - \sqrt {5}}$ is equivalent to:

$\textbf{(A)}\ \frac {3 + \sqrt {6} + \sqrt {15}}{6} \qquad \textbf{(B)}\ \frac {\sqrt {6} - 2 + \sqrt {10}}{6} \qquad \textbf{(C)}\ \frac{2+\sqrt{6}+\sqrt{10}}{10} \qquad\\ \textbf{(D)}\ \frac {2 + \sqrt {6} - \sqrt {10}}{6} \qquad \textbf{(E)}\ \text{none of these}$

Solution

Let $k=\sqrt{2}+\sqrt{3}$ Then $$ (Error compiling LaTeX. Unknown error_msg) $\fbox{}$

See also

1952 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 34
Followed by
Problem 36
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All AHSME Problems and Solutions

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