Perform the multiplication. The variable represents a positive number. $\sqrt { y } ( \sqrt { 6 y } - 2 )$
A) $y \sqrt { 2 } - 6 \sqrt { y }$
B) $y \sqrt { 6 } + 2 \sqrt { y }$
C) $y \sqrt { 6 } - 2 \sqrt { y }$
D) $6 y - 2 \sqrt { y }$
E) $6 \sqrt { y } - y \sqrt { 2 }$

Question

Quizplus · Accepted Answer

Using the distributive property, we can simplify the expression: 
$$\sqrt{y}(\sqrt{6y}-2)=\sqrt{y}\cdot \sqrt{6y}-\sqrt{y}\cdot 2=\sqrt{6y}\cdot \sqrt{y}-2\sqrt{y}=\sqrt{6y^2}-2\sqrt{y}$$
Since the variable represents a positive number, we can simplify further by noticing that $\sqrt{6y^2}$ is equal to $y\sqrt{6}$. Thus, the final result is:
$$y\sqrt{6}-2\sqrt{y}$$ which corresponds to choice C.

Perform the Multiplication y(6y−2)\sqrt { y } ( \sqrt { 6 y } - 2 )y​(6y​−2)

Perform the Multiplication $\sqrt { y } ( \sqrt { 6 y } - 2 )$