Rationalise the denominator | Find the value of c and the value of k | Write as a single fraction. скачать в хорошем качестве

Rationalise the denominator | Find the value of c and the value of k | Write as a single fraction.

The two questions are referred from CIE IGCSE 0580 Mathematics Non-Calculator Extended Paper 22 May June 2025, (0580/22/M/J/25), 0580 s25 qp 22 for educational purpose only. ------------------------------------------------------------------------------------------------------------------- Question 1 (Numbers): a) Rationalise the denominator : 9/√𝟑. Give your answer in its simplest form. [2m] (b) (5 − √2)(1 + 3√2) = 𝑐 + 𝑘√2 Find the value of c and the value of k. [2m] Question 2 (Algebra) : Write as a single fraction in its simplest form. [7m] -------------------------------------------------------------------------------------------------------------------- We’ll break down: ✅ How to rationalize an irrational denominator ✅ How to expand and simplify two irrational terms ✅ How to multiply two fractions and simplify it to a single fraction ✅ How to add two fractions and simplify it to a single fraction ✅ How to add and simplify two fractions using cross multiplication or butterfly method to get a single fraction. This question tests your skills in rationalization and algebraic manipulations— a must-know topic for IGCSE Maths success. 📌 Perfect for students revising IGCSE 0580 Extended or Core paper and anyone aiming to boost exam confidence. 🔔 Don’t forget to like, share, and subscribe for more IGCSE Maths past paper solutions, tips, and tricks.