VTMO 2015 — Grade 9 — semifinal Question 12
VTMO · VTMO 2015 — Grade 9 — semifinal
For distinct positive $a , b$, which expression is largest?
$2 \frac{ab}{a + b}$
$\sqrt{ab}$
$\frac{a^{2} + b^{2}}{a + b}$
$\frac{a + b}{2}$
$\sqrt{\frac{a^{2} + b^{2}}{2}}$