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2017 InIMC keystage3-IWYMIC individual Question 5

xIMC · 2017 InIMC keystage3-IWYMIC individual

Question 5

Find the least possible value of the fraction $\frac{a^2+b^2+c^2}{ab+bc}$ where $a,b$ and $c$ are positive real numbers.

Answer format: enter an exact expression; sqrt(n) denotes a square root.