By the end of this unit, students will be able to:
- rationalize a denominator that contains a single surd by multiplying the numerator and the denominator by the same surd to eliminate the root from the denominator;
- rationalize denominators that contain more complex expressions, such as the sum or difference of a rational number and a surd.
Curriculum Alignment: Key Stage 4: Number
- calculate exactly with fractions, {surds} and multiples of π {simplify surd expressions involving squares [for example √12 = √(4 × 3) = √4 × √3 = 2√3] and rationalise denominators}.
