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1977 AMC 12 Question 7

AMC12 · 1977 AMC 12

Question 7

If $t=\dfrac1{1-\sqrt[4]{2}},$ then $t$ equals
  1. $(1-\sqrt[4]{2})(2-\sqrt2)$
  2. $(1-\sqrt[4]{2})(1+\sqrt2)$
  3. $(1+\sqrt[4]{2})(1-\sqrt2)$
  4. $(1+\sqrt[4]{2})(1+\sqrt2)$
  5. $-(1+\sqrt[4]{2})(1+\sqrt2)$