Given that $$\left( a ^ { 3 } + \frac { 2 } { b ^ { 3 } } \right) \left( \frac { 2 } { a ^ { 3 } } - b ^ { 3 } \right) = \sqrt { 2 }$$ where $a$ and $b$ are real numbers, what is the least value of $a b$ ?
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Given that
$$\left( a ^ { 3 } + \frac { 2 } { b ^ { 3 } } \right) \left( \frac { 2 } { a ^ { 3 } } - b ^ { 3 } \right) = \sqrt { 2 }$$
where $a$ and $b$ are real numbers, what is the least value of $a b$ ?