Limits!

Calculus Level 3

\[ \large \lim_{x\to0} \left(\dfrac1{x\sqrt[3]{8+x}} - \dfrac1{2x} \right) \]

If the limit above can be expressed as \( -\dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(\sqrt{a+b} \).

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