Simplify the radical expression. Assume all variables represent nonnegative real numbers.
-$\sqrt { t ^ { 11 } }$
A) $t ^ { 11 } \sqrt { t }$
B) $t \sqrt { t }$
C) $t ^ { 22 } \sqrt { t }$
D) $t 6 \sqrt { t }$

Question

Quizplus · Accepted Answer

Using the property of radicals, we can simplify $\sqrt { t ^ { 11 } }= t^\frac{11}{2}=t\cdot t^\frac{9}{2}=t\sqrt{t^9}=t\sqrt{t^2\cdot t^2\cdot t^2\cdot t^2\cdot t}$. Simplifying the expression gives us choice B, $t\sqrt { t }$.

Simplify the Radical Expression t11\sqrt { t ^ { 11 } }t11​

Simplify the Radical Expression $\sqrt { t ^ { 11 } }$