Use the Quotient Rule to Simplify Square Roots
-$\frac { \sqrt { 32 x ^ { 3 } } } { \sqrt { 2 x } }$
A) $4 | x |$
B) $4 | x | \sqrt { 2 }$
C) $2 x ^ { 2 }$
D) $\frac { 4 x ^ { 2 } } { \sqrt { 2 } }$

Question

Quizplus · Accepted Answer

The Quotient Rule for square roots states that $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$. Applying this, $\frac{\sqrt{32x^3}}{\sqrt{2x}} = \sqrt{\frac{32x^3}{2x}} = \sqrt{16x^2} = 4|x|$.

Use the Quotient Rule to Simplify Square Roots - 32x32x\frac { \sqrt { 32 x ^ { 3 } } } { \sqrt { 2 x } }2x​32x3​​

Use the Quotient Rule to Simplify Square Roots
- $\frac { \sqrt { 32 x ^ { 3 } } } { \sqrt { 2 x } }$