Question

I need help on algebra 1 rewriting expression with radicals !

Answer 1

It is required to combine the radicals which can be done as follows:

`\begin{gathered} 5\sqrt[]{27}-17\sqrt[]{3}=5\sqrt[]{3*3*3}-17\sqrt[]{3} \\ =5*3\sqrt[]{3}-17\sqrt[]{3} \\ =15\sqrt[]{3}-17\sqrt[]{3} \\ =(15-17)\sqrt[]{3} \\ =-2\sqrt[]{3} \end{gathered}`

Option D is correct.