Question

Select the correct answer. Simplify the expression.
(see the screenshot)

Answer 1

Option D

Explanation:

Given expression has been given as,

`\sqrt[5]{224x^(11)y^8}`

`\sqrt[5]{224x^(11)y^8}=\sqrt[5]{2* 2* 2* 2* 2* 7(x^(11))(y^8)}`

`=\sqrt[5]{(2^5)* (7)(x^(10)* x)(y^5* y^3)}`

`=2^{(5)/(5)}* 7^{(1)/(5)}* x^{(10)/(5)}* x^{(1)/(5)}* y^{(5)/(5) }* y^{(3)/(5) }`

`=2* 7^{(1)/(5)}* x^2* y* x^{(1)/(5) }* y^{(3)/(5) }`

`=2x^2y\sqrt[5]{7xy^3}`

Option D will be the answer.