Question

Which choice is equivalent to the expression below when y20? ly3 + y² – 3yſy O A. yy O B. -2y 1 ly OC. C. Dy² – 3y ſy O D. /10y – 3y ſy

Answer 1

The given expression is :

`\sqrt[]{y^3}+\sqrt[]{9y^3}-3y\sqrt[]{y}`

as the square root is express as :

`\sqrt[]{a^2}=a`

Simplify the expression :

`\begin{gathered} \sqrt[]{y^3}+\sqrt[]{9y^3}-3y\sqrt[]{y}=\sqrt[]{y^2* y}+\sqrt[]{3^2y* y^2}-3y\sqrt[]{y} \\ \sqrt[]{y^3}+\sqrt[]{9y^3}-3y\sqrt[]{y}=y\sqrt[]{y}+3y\sqrt[]{y}-3y\sqrt[]{y} \\ \sqrt[]{y^3}+\sqrt[]{9y^3}-3y\sqrt[]{y}=y\sqrt[]{y} \end{gathered}`

Answer : A)

`y\sqrt[]{y}`