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Australian AMC 2016 - Senior Question 25

AMC AUSTRALIA · Australian AMC 2016 - Senior

Question 25

What is the least value of $\sqrt{x^2+(1-x)^2}+\sqrt{(1-x)^2+(1+x)^2}$?
  1. 2
  2. $\frac{\sqrt2+\sqrt{10}}2$
  3. $\sqrt5$
  4. 0
  5. $1+\sqrt2$