Integrated Math 2 · Unit 1

Rational Exponents & Radicals

Why a fractional exponent is forced to mean a root, simplifying radicals by extracting perfect powers, adding and multiplying radical expressions, rationalising denominators with conjugates, and proving that a rational plus an irrational is always irrational.

Builds on

Exponential functions from IM1 Unit 6 — the same exponent rules, now with the exponent allowed to be a fraction.

Lessons
  1. 01Why a Fractional Exponent Means a Root
  2. 02Simplifying Radicals
  3. 03Adding, Multiplying & Rationalising
  4. 04Rational & Irrational Numbers
Ready to check yourself?
PracticeTest yourself