Question

-27\sqrt(3)+3\sqrt(27)

Answer 1

Ok, so

Here we have the expression:

`-27\sqrt[]{3}+3\sqrt[]{27}`

Remember that:

`\sqrt[]{27}=\sqrt[]{3\cdot3\cdot3}=\sqrt[]{3^2\cdot3}=3\sqrt[]{3}`

If we rewrite:

`\begin{gathered} -27(\sqrt[]{3})+3(3\sqrt[]{3)} \\ =-27\sqrt[]{3}+9\sqrt[]{3} \end{gathered}`

If we have the same radical, we can sum the terms:

`(-27+9)\sqrt[]{3}=-18\sqrt[]{3}`