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1954 AMC 12 Question 14

AMC12 · 1954 AMC 12

Question 14

When simplified $\sqrt{1+\left(\dfrac{x^4-1}{2x^2}\right)^2}$ equals:
  1. $\dfrac{x^4+2x^2-1}{2x^2}$
  2. $\dfrac{x^4-1}{2x^2}$
  3. $\dfrac{\sqrt{x^2+1}}2$
  4. $\dfrac{x^2}{\sqrt2}$
  5. $\dfrac{x^2}{2}+\dfrac1{2x^2}$