This worksheet guides students through the process of rationalising the denominators of fractions where the denominators are binomial.
It begins with a warm-up section designed to reinforce essential algebraic skills: expanding single and double brackets, all of which involve surds. This foundation prepares students for Section B, where they select appropriate conjugate multipliers to rationalise denominators. The scaffolded approach ensures students understand the reasoning behind the method before advancing.
In Section C, students apply these techniques to a variety of rationalising problems with increasing complexity. The surds and coefficients grow progressively more challenging, culminating in expressions featuring variables alongside surds, encouraging deeper algebraic manipulation.
The worksheet steadily builds confidence and fluency in handling surds, preparing students for more advanced algebraic concepts.
