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1973 AMC 12 Question 13

AMC12 · 1973 AMC 12

Question 13

The fraction $$
\frac{2(\sqrt2+\sqrt6)}{3\sqrt{2+\sqrt3}}
$$ is equal to
  1. $\dfrac{2\sqrt2}{3}$
  2. $1$
  3. $\dfrac{2\sqrt3}{3}$
  4. $\dfrac43$
  5. $\dfrac{16}{9}$