Simplify each square root in the expression.

here are the solutions to the remaining questions:

5. (a) Simplify $\frac{\sqrt{72}}{\sqrt{18}-\sqrt{12}}$, leave the answer in the form $a+b\sqrt{c}$, where $a$, $b$ and $c$ are integers.

Step 1: Simplify each square root in the expression.

$$\sqrt{72} = \sqrt{36 \times 2} = 6\sqrt{2}$$ $$\sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2}$$ $$$$