Demystifying - Adding and subtracting surds

Drills

Collecting like surds after simplifying every term.

Author note — to cover (Higher)

Higher only. Collecting like surds after simplifying every term, e.g. root 12 + root 27 = 5 root 3; unlike surds cannot combine, and root a + root b is not root(a+b). Assumes simplifying-surds; bracketed expressions live on expanding-surds. (N8)

  • Fluency — direct questions on adding and subtracting 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 Adding and subtracting surds.