Simplify the expression. Assume that all variables represent positive real numbers. $$\sqrt { \frac { a ^ { 10 } } { b ^ { 2 } } }$$
A) $\frac { a ^ { 8 } } { b }$
B) $\frac { a ^ { 5 } } { b ^ { 2 } }$
C) $\frac { a ^ { 5 } } { b }$
D) $\frac { a ^ { 8 } } { b ^ { 2 } }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac { a ^ { 5 } } { b }$ because the square root of $a^{10}$ is $a^5$ and the square root of $b^2$ is $b$, thus $\sqrt { \frac { a ^ { 10 } } { b ^ { 2 } } } = \frac { a ^ { 5 } } { b }$.

Simplify the Expression a10b2\sqrt { \frac { a ^ { 10 } } { b ^ { 2 } } }b2a10​​

Simplify the Expression $\sqrt { \frac { a ^ { 10 } } { b ^ { 2 } } }$