Question

Write the sum of the problem below in simplest form

Answer 1

`18x^3√(7)`

1) We can simplify this expression with the aid of the properties of rational exponents/radicands:

`\begin{gathered} 7√(28x^6)+4√(7x^6)\:\:\:Factor\:28,divide\:6\:by\:the\:index\:2\:of\:the\:square\:root. \\ \\ 7\cdot\:2x^3√(7)+4x^3√(7) \\ \\ 14x^3√(7)+4x^3√(7) \\ \\ 18x^3√(7) \end{gathered}`

Thus, this is the sum of it in its simplest form.