New Zealand
Level 8 - NCEA Level 3

# Divide algebraic surds

## Interactive practice questions

Simplify the expression $\frac{\sqrt{x}}{\sqrt{y}}$xy to a single surd.

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Simplify the expression $\frac{\sqrt[3]{m}}{\sqrt[3]{n}}$3m3n to a single surd.

Simplify the expression $\sqrt{p}\div\sqrt{q}$p÷​q to a single surd.

Simplify the expression $\sqrt[4]{x}\div\sqrt[4]{y}$4x÷​4y to a single surd.

### Outcomes

#### M8-9

Manipulate complex numbers and present them graphically

#### 91577

Apply the algebra of complex numbers in solving problems