Use the quotient rule and the product rule to simplify each radical.
-$\sqrt { \frac { 300 } { 8100 } }$
A) $\sqrt { \frac { 3 } { 81 } }$
B) $\frac { \sqrt { 3 } } { 9 }$
C) $\sqrt { \frac { 300 } { 8100 } }$
D) $\frac { 10 \sqrt { 3 } } { 90 }$

Question

Quizplus · Accepted Answer

First, simplify the fraction under the radical: $\frac{300}{8100} = \frac{1}{27}$. Then, $\sqrt{\frac{1}{27}} = \sqrt{\frac{1}{3^3}} = \frac{\sqrt{3}}{3^2} = \frac{\sqrt{3}}{9}$.

Use the Quotient Rule and the Product Rule to Simplify 3008100\sqrt { \frac { 300 } { 8100 } }8100300​​

Use the Quotient Rule and the Product Rule to Simplify $\sqrt { \frac { 300 } { 8100 } }$