Demystifying - Simplifying surds

Drills

Extracting the largest square factor to write a√b, and comparing surds.

Author note — to cover (Higher)

Higher only, N8's braced clause. Extracting the largest square factor to write root 12 as 2 root 3, reversing to compare surd sizes, and N8's own example root 12 = root 4 times root 3. Surd arithmetic lives on the sibling pages; Foundation never meets surds. (N8)

  • Fluency — direct questions on simplifying 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).

The test

—coming soon—

Where to go next

The method this drill practises is taught on Simplifying surds.