olymmath

AHSME 1974 Problem 20

    Let T=13−8−18−7+17−6−16−5+15−2.T=\frac{1}{3-\sqrt{8}}-\frac{1}{\sqrt{8}-\sqrt{7}}+\frac{1}{\sqrt{7}-\sqrt{6}}-\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{5}-2}. Then (A) T2\mathrm{(A)\ } T2 (E) T=1(3−8)(8−7)(7−6)(6−5)(5−2)\mathrm{(E) \ }T=\frac{1}{(3-\sqrt{8})(\sqrt{8}-\sqrt{7})(\sqrt{7}-\sqrt{6})(\sqrt{6}-\sqrt{5})(\sqrt{5}-2)}

    Dataset text NuminaMath-1.5. Quoted with source.

    Show the answer

    5

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator ahsme/1974/p20 · Tag DM207WZP47 · Edit this page on GitHub · Keys: j next, k previous