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1984 AMC 12 Question 13

AMC12 · 1984 AMC 12

Question 13

$\frac{2\sqrt6}{\sqrt2+\sqrt3+\sqrt5}$ equals
  1. $\sqrt2+\sqrt3-\sqrt5$
  2. $4-\sqrt2-\sqrt3$
  3. $\sqrt2+\sqrt3+\sqrt6-5$
  4. $\frac12(\sqrt2+\sqrt5-\sqrt3)$
  5. $\frac13(\sqrt3+\sqrt5-\sqrt2)$