Use the quotient rule to divide and simplify.
-$\frac { \sqrt { 96 } } { \sqrt { 4 } }$
A) $2 \sqrt { 6 }$
B) $\frac { \sqrt { 384 } } { 4 }$
C) $\frac { \sqrt { 96 } } { 4 }$
D) 4

Question

Quizplus · Accepted Answer

The quotient rule for radicals states that $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$. Applying this to $\frac{\sqrt{96}}{\sqrt{4}}$ gives $\sqrt{\frac{96}{4}} = \sqrt{24}$. Simplifying $\sqrt{24}$ further by factoring out perfect squares gives $\sqrt{4 \times 6} = 2\sqrt{6}$.

Use the Quotient Rule to Divide and Simplify 964\frac { \sqrt { 96 } } { \sqrt { 4 } }4​96​​

Use the Quotient Rule to Divide and Simplify $\frac { \sqrt { 96 } } { \sqrt { 4 } }$