Use the product rule to multiply. Assume all variables represent positive real numbers.
-$\sqrt { \frac { x } { 3 } } \cdot \sqrt { \frac { y } { 2 } }$
A) $\sqrt { \frac { x y } { 6 } }$
B) $\frac { x y } { 6 }$
C) $\sqrt { \frac { 2 x + 3 y } { 6 } }$
D) $\sqrt { \frac { 2 x } { 3 y } }$

Question

Quizplus · Accepted Answer

The product rule for square roots states that $\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$. Applying this rule to the given expression, we get $\sqrt{\frac{x}{3}} \cdot \sqrt{\frac{y}{2}} = \sqrt{\frac{x}{3} \cdot \frac{y}{2}} = \sqrt{\frac{xy}{6}}$.

Use the Product Rule to Multiply x3⋅y2\sqrt { \frac { x } { 3 } } \cdot \sqrt { \frac { y } { 2 } }3x​​⋅2y​​

Use the Product Rule to Multiply $\sqrt { \frac { x } { 3 } } \cdot \sqrt { \frac { y } { 2 } }$