Flooring Cubes

Algebra Level 3

Determine the value of

\[ \left \lfloor ( 3 + \sqrt{5} ) ^3 \right \rfloor \]

Details and assumptions

Greatest Integer Function: \(\lfloor x \rfloor: \mathbb{R} \rightarrow \mathbb{Z}\) refers to the greatest integer less than or equal to \(x\). For example \(\lfloor 2.3 \rfloor = 2\) and \(\lfloor -3.4 \rfloor = -4\).

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