# 3, 2, 1 blast off

Algebra Level 5

We have the identity

$3 \sqrt[3]{ \sqrt[3]{2} -1 } = \sqrt[3] {a} + \sqrt[3]{b} - \sqrt[3]{c},$

where $a$, $b$ and $c$ are positive integers. What is the value of $a + b + c$?

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