Use the four operations to simplify surds, e.g. √5 − 2√5 + 4√5 = 3√5 and 2√3 × 5√11 = 10√33

Simplify $3\sqrt{8} - 2\sqrt{18} + \sqrt{32}$.

Simplify the following expressions, giving your answers in simplest surd form. (a) $5\sqrt{12} - 2\sqrt{27} + \sqrt{75}$ (b) $3\sqrt{5} \times 2\sqrt{7}$ (c) $\frac{\sqrt{98}}{\sqrt{2}}$

Use the four operations to simplify the following expressions involving surds. Express each answer in simplest surd form. (a) \(3\sqrt{7} + 5\sqrt{7} - 2\sqrt{7}\) (b) \(4\sqrt{6} \times 3\sqrt{2}\) (c) \(\frac{18\sqrt{15}}{3\sqrt{5}}\) (d) \((2\sqrt{3} + \sqrt{5})(\sqrt{3} - 2\sqrt{5})\)

Simplify the following expression. Write your answer in simplest surd form. (a) Simplify $3\sqrt{8} - 2\sqrt{2} + \sqrt{18}$ [1 mark] (b) Simplify $\sqrt{6} \times 2\sqrt{10}$ [1 mark] (c) Simplify $\frac{15\sqrt{12}}{3\sqrt{3}}$ [1 mark]