Simplify the radical expression. If appropriate, include absolute values.
-$\sqrt { x ^ { 10 } }$
A) $\left| x ^ { 5 } \right|$
B) $x ^ { 5 }$
C) $- \mathrm { x } ^ { 5 }$
D) $- \left| x ^ { 5 } \right|$

Question

Quizplus · Accepted Answer

The expression $\sqrt { x ^ { 10 } }$ simplifies to $x^5$ when $x$ is non-negative, but to $-x^5$ when $x$ is negative. To account for both cases, the expression is simplified to $\left| x ^ { 5 } \right|$, which represents the absolute value of $x^5$, ensuring the result is always non-negative, as required by the principal square root function.

Simplify the Radical Expression x10\sqrt { x ^ { 10 } }x10​

Simplify the Radical Expression $\sqrt { x ^ { 10 } }$