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)

Introduction

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Practice and continue

Practice

Simplifying surds

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

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Adding and subtracting surds

Collecting like surds after simplifying every term.