Question

Can this be explained simply the expression and factor out the radical in your final answer. Assume x is a nonnegative real number please

Answer 1

The given expression is:

`2\sqrt[]{18x^3}+\sqrt[]{50x}`

Simplify as follows:

`\begin{gathered} 2\sqrt[]{18x^3}+\sqrt[]{50x}=2\sqrt[]{3*3*2* x^2* x}+\sqrt[]{5*5*2* x} \\ =2*3* x\sqrt[]{2x}+5\sqrt[]{2x} \\ =6x\sqrt[]{2x}+5\sqrt[]{2x} \\ =\sqrt[]{2x}(6x+5) \end{gathered}`