EXPLANATION
Given the cubic root:
[tex]\sqrt[3]{8}\cdot\sqrt[3]{8}[/tex]
Rewriting 8 as 2^3:
[tex]=\sqrt[3]{2^3}\cdot\sqrt[3]{2^3}[/tex]
Applying the property of roots:
[tex]\sqrt[3]{a^3}=a[/tex]
[tex]=2\cdot2=4[/tex][tex]\sqrt[3]{8}\cdot\sqrt[3]{8}=\sqrt[3]{8^2}=\sqrt[3]{64}=4[/tex]
