Use the Quotient Rule to Simplify Square Roots
-$\sqrt { \frac { 64 } { 25 } }$
A) $\frac { 8 } { 5 }$
B) 1
C) $\frac { \sqrt { 8 } } { \sqrt { 5 } }$
D) $\frac { \sqrt { 8 } } { 5 }$

Question

Quizplus · Accepted Answer

The Quotient Rule for square roots states that $\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$. Applying this to $\sqrt{\frac{64}{25}}$ gives $\frac{\sqrt{64}}{\sqrt{25}}$, which simplifies to $\frac{8}{5}$ because $\sqrt{64} = 8$ and $\sqrt{25} = 5$.

Use the Quotient Rule to Simplify Square Roots - 6425\sqrt { \frac { 64 } { 25 } }2564​​

Use the Quotient Rule to Simplify Square Roots
- $\sqrt { \frac { 64 } { 25 } }$