This educational material focuses on the procedures for Manipulating Surds, which are defined as expressions with irrational square roots that cannot be simply written as fractions. The text presents six essential rules for working with surds, covering operations like multiplication, division, and how binomial expressions involving surds are expanded. A key concept introduced is ‘Rationalising the denominator’, which is the process of eliminating the surd from the bottom of a fraction to simplify the expression. Finally, the resource provides several examples demonstrating how to Use the Rules to Simplify Expressions, applying these algebraic principles to solve problems such as simplifying a sum of surds or solving for the dimensions of a rectangle.
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