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IMAS 2017 — Junior — Round 1 Question 18

IMAS · IMAS 2017 — Junior — Round 1

Question 18

If positive numbers $x$ and $y$ satisfy $x^2-y^2=2$. What is the simplified value of $x\sqrt{2+y^2}-y\sqrt{x^2-2}$?
  1. 2
  2. $2\sqrt2$
  3. 4
  4. $4\sqrt2$
  5. Uncertain