Simplify using the division property of radicals. Assume that all variables represent positive real numbers. $\sqrt { \frac { 18 b ^ { 8 } } { 2 b ^ { 18 } } }$
A) $\frac { 3 } { b ^ { 5 } }$
B) $\frac { 3 } { b \sqrt { b ^ { 8 } } }$
C) $\sqrt { \frac { 9 } { b ^ { 10 } } }$
D) $3 \sqrt { b ^ { 10 } }$

Question

Quizplus · Accepted Answer

First, simplify the fraction under the radical: $\sqrt { \frac { 18 b ^ { 8 } } { 2 b ^ { 18 } } } = \sqrt { \frac { 9 } { b ^ { 10 } } }$. Then, since the square root of 9 is 3, and $b^{10}$ under the square root becomes $b^5$ in the denominator, the simplified form is $\frac { 3 } { b ^ { 5 } }$.

Simplify Using the Division Property of Radicals 18b82b18\sqrt { \frac { 18 b ^ { 8 } } { 2 b ^ { 18 } } }2b1818b8​​

Simplify Using the Division Property of Radicals $\sqrt { \frac { 18 b ^ { 8 } } { 2 b ^ { 18 } } }$