Algebra › Section H · Roots and radicals › Topic H.6
Solving radical equations
When the variable hides under a root, no amount of ordinary rearranging will free it. The escape is elegant — isolate the radical and raise both sides to the matching power — but the manoeuvre can smuggle in false answers, so every candidate gets checked.
In this topic
- Isolate, then raise to the index
- Worked example: a full solve
- Why squaring can lie
- Worked example: catching an impostor
- Two radicals: square twice
- Cube roots and other powers
- Radicals hiding in formulas
- Common mistakes to avoid
- Key takeaways
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