IP EMaths Notes (Upper Sec, Year 3-4): 03) Algebraic Fractions and Surds

Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 03) Algebraic Fractions and Surds cover?
A: Simplify algebraic fractions, manage restricted domains, and keep surd expressions exact throughout working.

Exact manipulation avoids rounding drift. Reduce algebraic fractions fully before substituting values, and rationalise surd denominators when presenting final answers.

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Key techniques

• Factor numerator and denominator before cancelling: $\dfrac{x^{2} - 9}{x^{2} - x - 6} = \dfrac{(x - 3)(x + 3)}{(x - 3)(x + 2)}$