Algebra › Section H · Roots and radicals › Topic H.4
Adding, subtracting, and multiplying radicals
Radicals behave like old friends from earlier algebra: they combine the way like terms do and multiply the way monomials do — once each radical is in its simplest clothes.
In this topic
- Radicals rejoin the algebra family
- Like radicals combine
- Simplify first, then combine
- Worked example: subtracting disguised radicals
- The product rule for radicals
- Multiplying out with distributivity
- Worked example: FOIL with radicals
- Conjugates and squaring patterns
- Different indices do not multiply directly
- Common mistakes to avoid
- Key takeaways
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