Chapter 2: Surds, indices and exponentials Notes

Rational and irrational numbers, operations with surds, binomial products and rationalising denominators, fractional indices, exponential equations and exponential growth and decay.

Sections

  1. 2A Surds, binomial products and rationalising Mastered

    Rational and irrational numbers, simplifying and operating with surds, expanding binomial products with surds, conjugates, and rationalising the denominator.

  2. 2B Fractional indices Mastered

    Fractional indices as roots and powers, evaluating expressions like 8^(2/3), and applying index laws with fractional and negative indices.

  3. 2C Exponential equations Mastered

    Solving exponential equations by writing both sides with the same base, including fractional and negative solutions.

  4. 2D Exponential growth and decay Mastered

    Exponential graphs y = a^x, growth and decay models A = A₀(1 ± r)^n, half-life and doubling, and using trial and error or graphs to find when a value is reached.

Formula sheet