Rationalizing the Denominator - with Binomial Numerators WORKSHEET

This worksheet on rationalising denominators with binomial numerators offers a structured approach for mastering this complex topic.

It begins with Section A, where students practice expanding and simplifying pairs of binomials, reinforcing their understanding of conjugates. Section B builds on this by introducing fractions where the denominators are conjugate pairs, guiding students to multiply and simplify these expressions. Section C provides a scaffolded fill-in-the-blank activity, prompting learners to select the correct terms to complete conjugate pairs, ensuring deeper comprehension before moving to more challenging problems. Finally, Section D consolidates learning with full rationalisation exercises, requiring students to multiply both numerators and denominators by appropriate conjugates and simplify the results.

The worksheet progresses from foundational skills to complex applications, offering scaffolded support throughout to build confidence and fluency. Perfect for teachers and parents looking to support students in mastering surds and rationalising denominators.