Simplify the radical expression. Assume that all variables represent positive real numbers.
-$\sqrt [ 5 ] { 243 \mathrm { x } ^ { 3 } \mathrm { y } ^ { 22 } }$
A) $3 y ^ { 3 } \sqrt [ 5 ] { 3 x ^ { 3 } y ^ { 2 } }$
B) $3 y ^ { 4 } \sqrt [ 5 ] { x ^ { 3 } y ^ { 2 } }$
C) $3 x y ^ { 4 } \sqrt [ 5 ] { 3 x y ^ { 2 } }$
D) $3 x y ^ { 3 } \sqrt [ 5 ] { x ^ { 2 } y ^ { 2 } }$

Question

Quizplus · Accepted Answer

The fifth root of 243 is 3, and $y^{22}$ can be simplified to $y^4$ with a remainder of $y^2$ inside the radical. The expression simplifies to $3 y^4 \sqrt[5]{x^3 y^2}$.

Simplify the Radical Expression 243x3y225\sqrt [ 5 ] { 243 \mathrm { x } ^ { 3 } \mathrm { y } ^ { 22 } }5243x3y22​

Simplify the Radical Expression $\sqrt [ 5 ] { 243 \mathrm { x } ^ { 3 } \mathrm { y } ^ { 22 } }$