# Week 4 Multiplying and Dividing Radical Expressions

Expand and simplify: (P127)

a) ($\sqrt{3}$ +8) ($2\sqrt[1]{3}$ -1) – $\sqrt{3}$ ($7\sqrt[1]{3}$ -4)

=6-$\sqrt{3}$$16\sqrt[1]{3}$ -8-(21-$4\sqrt[1]{3}$)

=-2 + $15\sqrt[1]{3}$ -21 + $4\sqrt[1]{3}$

=-23+ $19\sqrt[1]{3}$

Firstly, when we solve this type of questions, we need to find the like terms becasue when adding/ substraction, the coefficients are combined when the radicands are the same. For example, in this question, like terms are $\sqrt{3}$$2\sqrt[1]{3}$ and $\sqrt{3}$($7\sqrt[1]{3}$ becasue you can find they all have $\sqrt{3}$, and that means we need to think of a way to combine them together to get a simplified answer.  Secondly, do the calculation carefully and be aware of the like terms. Final step is to check you answer is already simplified  or not.