Respuesta :

Answer:

2 a^2

Step-by-step explanation:

cube root of 8 = 2    cube root a^6 = a^2

Calculations

[tex]\sqrt[3]{8a^6} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \bf{We \ factorize}[/tex]

[tex]\bf{8=2^{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ a^{6}=(a^{2})^{3},now }[/tex]

[tex]\sqrt[3]{8a^6}[/tex]

[tex]\sqrt[3]{8a^6}=[/tex]

[tex]\sqrt[3]{2^{3}*(a^2)^3 }=[/tex]

[tex]\sqrt[3]{2^3 }*\sqrt[3]{(a^2)^3 } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \bf{We \ simplify }[/tex]

[tex]\sqrt[3]{8a^6}=\bf{2a^2 }[/tex]

[tex]\red{\boxed{\green{\boxed{\bf{\purple{Pisces04}}}}}}[/tex]