Answer:
Option D
Step-by-step explanation:
Given expression has been given as,
[tex]\sqrt[5]{224x^{11}y^8}[/tex]
[tex]\sqrt[5]{224x^{11}y^8}=\sqrt[5]{2\times 2\times 2\times 2\times 2\times 7(x^{11})(y^8)}[/tex]
[tex]=\sqrt[5]{(2^5)\times (7)(x^{10}\times x)(y^5\times y^3)}[/tex]
[tex]=2^{\frac{5}{5}}\times 7^{\frac{1}{5}}\times x^{\frac{10}{5}}\times x^{\frac{1}{5}}\times y^{\frac{5}{5} }\times y^{\frac{3}{5} }[/tex]
[tex]=2\times 7^{\frac{1}{5}}\times x^2\times y\times x^{\frac{1}{5} }\times y^{\frac{3}{5} }[/tex]
[tex]=2x^2y\sqrt[5]{7xy^3}[/tex]
Option D will be the answer.
