Author note — to cover (Higher)

Higher only. Using root a times root b = root(ab), multiplying integer coefficients and roots separately, then simplifying the resulting surd, e.g. 2 root 3 times 5 root 6 = 30 root 2. Squaring and division get sibling pages; brackets live on expanding-surds. (N8)

• Fluency — direct questions on multiplying surds, 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).