# Nonlinear System

Algebra Level 3

$\large \begin {cases} ab = 2 \\ bc = 3 \\ ca = 4 \end {cases}$

If $$a, b,$$ and $$c$$ are real numbers, determine $$\left| a + b + c \right|$$, to one decimal place.

Notation: $$| \cdot |$$ denotes absolute value function.

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