Paper 1 · Algebra
⏱ Tested in 5 exam questions since 2024
Lesson 17 of 23
Algebra 17 – Surd equations
In this lesson you’ll learn to
- Isolate the surd before squaring both sides
- Square twice to clear equations containing two separate surds
- Verify every root in the original equation and reject extraneous ones
Most recent exam questions
- 2025 Paper 1 Q1(b) — bracket expansion involving surds
- 2025 Paper 1 Q8(e)(i) — assembling a total-time function from two right-triangle distance pieces
- 2025 Paper 1 Q8(e)(ii) — solving a derivative-equals-zero condition involving a surd; squaring to clear the squar…
- 2024 Paper 1 Q1(a) — surd equation; squaring to eliminate the surd, then solving the resulting quadratic, wit…
- 2024 Paper 1 Q10(c)(i) — area between curves via integration; using symmetry to halve the work
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