Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-5
New NZC (2026)
NZC26-P4-ALG-ER-K-Y10-01
Resources
- No external resource is currently specified.
Terminology
- Radical
- Squaring both sides
- Extraneous solution
- Isolating the radical
Task goals
- Foundation: Solve equations with a single square-root term by isolating it and squaring once, then verify the solution satisfies the original equation.
- Proficient: Solve equations with a square-root term combined with other algebraic terms (e.g. $\sqrt{x+1} = x-1$), correctly identifying and rejecting any extraneous solutions produced by squaring.
- Excellence: Solve equations involving two square-root terms or nested radicals requiring repeated squaring, and explain algebraically why squaring can introduce extraneous roots.
Where this fits
What leads into this objective, and where it goes next.
Before
Multiplying Expressions (no powers)
Adding and Subtracting Expressions (Like Terms)
Simplifying Expressions with GEMA / BEDMAS
You are here
Solving Irrational (Square-Root) Equations
Know
Finding square roots of numbers and solving quadratic equations are related but have some differences.
Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y10-01
Also under NA6-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.