Roots Everywhere

Algebra Level 4

x3+1x3 \large \sqrt[3]{x}+\dfrac{1}{\sqrt[3]{x}}

Given that x>0 x > 0 and 3(x31x3)3=2 \quad \sqrt[3]{3 \left( \sqrt[3]{x}-\dfrac{1}{\sqrt[3]{x}} \right)}=2, then find the value of the expression above.

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