### Improve Competency with MyMathsHero

A number that can be expressed as a fraction of integers (assuming the denominator is never 0) 5 4 is called a rational number. Examples of rational numbers are, and 2. … An irrational number involving a root is called a **surd**.

In this section, we cover the following: Questions on Indices, logarithms (numbers > 1), logarithms (including numbers < 1), calculations without logarithms. At the end of this topic, students should understand the following among other things:

- Understand the laws of indices and fully understand the theory of logarithms,
- Solve equations expressed in indices and link indices to logarithms
- Solve logarithm equations and calculate with or without using log tables and mathematical calculators,
- Simplify various fractions and rationalize the denominators,
- Use binomial conjugates to simplify binomial expressions
- Apply surds to trig ratios and Pythagoras