Skip to content / Đến nội dung
ThichHocToan.com

Australian AMC 2021 - Senior Question 19

AMC AUSTRALIA · Australian AMC 2021 - Senior

Question 19

If $a$ and $b$ are positive, what is $\sqrt{a^2+\frac1{b^2}}\times\sqrt{b^2+\frac1{a^2}}$ equal to?
  1. $\frac ab+\frac ba$
  2. $a^2b^2+\frac1{a^2b^2}$
  3. $ab+2+\frac1{ab}$
  4. $a+b+\frac1a+\frac1b$
  5. $ab+\frac1{ab}$