Algebra › Section H · Roots and radicals › Topic H.1
Simplifying expressions with roots
A root asks the inverse of a power: what number, multiplied by itself, gives this? The answer's bookkeeping — which root, what sign, real or not — is what this topic makes precise.
In this topic
- Square roots and the principal one
- Higher roots and the index
- Odd versus even indices
- Estimating roots between perfect powers
- Worked example: estimating, then rounding
- Roots of variable expressions
- When the bars can come off
- Worked example: three variable radicals
- Common mistakes to avoid
- Key takeaways
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