Use the quotient rule and the product rule to simplify each radical.
- $- \sqrt { \frac { 68 } { 121 } }$
A) $- \frac { \sqrt { 68 } } { 11 }$
B) $- \frac { 2 \sqrt { 17 } } { 11 }$
C) $- \sqrt { \frac { 68 } { 121 } }$
D) $- \frac { 34 } { 11 }$

Question

Use the quotient rule and the product rule to simplify each radical.
-  $- \sqrt { \frac { 68 } { 121 } }$
A) $- \frac { \sqrt { 68 } } { 11 }$
B) $- \frac { 2 \sqrt { 17 } } { 11 }$
C) $- \sqrt { \frac { 68 } { 121 } }$
D) $- \frac { 34 } { 11 }$

Quizplus · Accepted Answer

First, simplify the radical using the quotient rule: $- \sqrt { \frac { 68 } { 121 } } = - \frac { \sqrt { 68 } } { \sqrt { 121 } }$. Then, simplify further by recognizing that $\sqrt{68} = \sqrt{4 \cdot 17} = 2\sqrt{17}$ and $\sqrt{121} = 11$, resulting in $- \frac { 2 \sqrt { 17 } } { 11 }$.

Use the Quotient Rule and the Product Rule to Simplify −68121- \sqrt { \frac { 68 } { 121 } }−12168​​

Use the Quotient Rule and the Product Rule to Simplify $- \sqrt { \frac { 68 } { 121 } }$