# Multiplying out brackets including surds - Higher

Expressions with brackets that include surds can be multiplied out or expanded.

Multiply out

Each term in the first bracket has to be multiplied by each term in the second bracket. One way to do this is to use a grid:

The four terms cannot be simplified because each of the surds has a different number inside the square root, and none of the surds can be simplified.

The same method can be used if the numbers in the surds are the same:

Simplify fully

Question
1. Expand
2. Expand and simplify