Select the correct answer. Simplify the expression. \sqrt[5]{224x^(11)y^(8) } A.2xy^3} \sqrt[5]{7x^(3)y^(2) } B.2x^(2)y \sqrt[5]{7xy^(3) } C.2xy \sqrt[5]{5xy^(3) } D.2x^(2) y^(2…

Question

Select the correct answer.

Simplify the expression.


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

A.
`2xy^3} \sqrt[5]{7x^(3)y^(2) }`
B.
`2x^(2)y \sqrt[5]{7xy^(3) }`
C.
`2xy \sqrt[5]{5xy^(3) }`
D.
`2x^(2) y^(2) \sqrt[5]{5x^(7)y^(5) }`

Answer 1

`\sqrt[5]{224x^(11)y^8}=\sqrt[5]{2^5\cdot7\cdot (x^2)^5\cdot x\cdot y^5\cdot y^3}=2\cdot x^2\cdot y√(7xy^3)=2x^2y√(7xy^3)`