Rationalising Surd — Interactive Lesson (Year 9–10)

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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}.

Designed for ages 13–15 (UK Year 9–10). Aligned to the UK National Curriculum; adaptable to US state standards.

Year Groups	Year 9–10
Resource Type	🎓 Interactive Lesson & Activities
Format	Digital Only
Curriculum	England & Wales — KS3–KS4 (Years 9–10)
Added	4 March 2026