Answer:
option A
Step-by-step explanation:
[tex]\sqrt[5]{224 x^{11}y^{8}}[/tex]
we can write
224=[tex]2^{5}*7[/tex]
[tex]x^{11} = x^{5} *x^{5} *x[/tex]
[tex]y^{8} = y ^{5} *y^{3}[/tex]
[tex]\sqrt[5]{224 x^{11}y^{8}}[/tex] = [tex]\sqrt[5]{2^{5}*7*x^{5}*x^{5}*x*y^{5}*y^{3}}[/tex]
[tex]\sqrt[5]{2^{5}*7*x^{5}*x^{5}*x*y^{5}*y^{3}}[/tex]
finally we have
[tex]2x^{2} y\sqrt[5]{7xy^{3}}[/tex]
