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:

$\begin{gathered} 2\sqrt[]{18x^3}+\sqrt[]{50x}=2\sqrt[]{3\times3\times2\times x^2\times x}+\sqrt[]{5\times5\times2\times x} \\ =2\times3\times x\sqrt[]{2x}+5\sqrt[]{2x} \\ =6x\sqrt[]{2x}+5\sqrt[]{2x} \\ =\sqrt[]{2x}(6x+5) \end{gathered}$