Find the square root. Assume that all variables represent nonnegative real numbers.
-$$\sqrt { \frac { 16 z ^ { 16 } } { 25 } }$$
A) $\frac { 4 z ^ { 14 } } { 5 }$
B) $\frac { 4 z ^ { 8 } } { 5 }$
C) $\frac { 4 z ^ { 8 } } { 25 }$
D) $\frac { 16 z ^ { 8 } } { 25 }$

Question

Quizplus · Accepted Answer

The square root of $\frac{16z^{16}}{25}$ simplifies to $\frac{4z^8}{5}$ because the square root of 16 is 4, the square root of $z^{16}$ is $z^8$ (since $16/2 = 8$), and the square root of 25 is 5.

Find the Square Root 16z1625\sqrt { \frac { 16 z ^ { 16 } } { 25 } }2516z16​​

Find the Square Root $\sqrt { \frac { 16 z ^ { 16 } } { 25 } }$