Chapter 2

Numbers and surds

Real numbers and intervals on the number line, simplifying surds, surd arithmetic and rationalising denominators.

Sections

  1. 2A Real numbers and intervals Natural numbers, integers, rationals, irrationals and reals, plus intervals on the number line in inequality and bracket notation.
  2. 2B Surds and their arithmetic What a surd is, the laws for multiplying and dividing square roots, simplifying surds by taking out square factors, and collecting like surds.
  3. 2C Expanding expressions with surds Expand brackets containing surds, use the special expansions with surds, and meet conjugates, which multiply to give a rational number.
  4. 2D Rationalising the denominator Remove surds from the denominator of a fraction, using the surd itself or its conjugate, and write answers in simplest exact form.

Formula sheet