NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Rationalise the denominator

## Interactive practice questions

Fill in the blanks to complete the question below.

The number $\sqrt{\frac{2}{7}}$27 can be rewritten without a radical in the denominator by multiplying both the numerator and denominator by $\sqrt{\editable{}}$.

Easy
Less than a minute

Fill in the blanks to complete the statement below.

Rationalise the denominator for the given expression:

$\frac{1}{\sqrt{11}}$111

Rationalise the denominator and give your answer in the simplest form: $\frac{7}{\sqrt{21}}$721

### Outcomes

#### M8-9

Manipulate complex numbers and present them graphically

#### 91577

Apply the algebra of complex numbers in solving problems