Author note — to cover (Higher)

Higher only; N8 names rationalising denominators. Clearing a single-surd denominator by multiplying top and bottom by the surd, e.g. 5 over root 3 becomes 5 root 3 over 3, simplifying afterwards. Two-term denominators live on rationalising-conjugates; answers stay exact, never decimal. (N8)

• Fluency — direct questions on rationalising a denominator, limited to this lesson's stated scope (4 questions).
• Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
• Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).