Algebra › Section H · Roots and radicals › Topic H.2
Simplifying radical expressions
A fraction is simplified when nothing cancels; a radical is simplified when nothing can come out. The exit door is the same idea in both - find the hidden perfect factors and escort them out of the root.
In this topic
- What "simplified" means for a radical
- The product property of roots
- The quotient property of roots
- The three-step routine
- Worked example: pulling out perfect powers
- Variables under the radical
- Worked example: numbers and variables together
- Worked example: fractions under the radical
- Common mistakes to avoid
- Key takeaways
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