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CAIE IGCSE Mathematics Extended E1.18.1 Understand and Use Surds Including Simplifying Expressions Questions

Work through Extended CAIE IGCSE Mathematics surd questions by extracting square factors, collecting like terms and expanding products.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Exam points

  • simplify surds by extracting square factors and collecting like surd terms
  • expand products involving surds and simplify the result
  • express a surd expression in the form a + b√n with correct coefficients

CAIE IGCSE Mathematics Extended E1.18.1 Understand and Use Surds Including Simplifying Expressions Questions question 1

[Maximum number: 2]

(3−5)(2+35)=a+b5(3-\sqrt5)(2+3\sqrt5)=a+b\sqrt5
Find the value of a and the value of b.
a=b=\begin{aligned}a&=\\b&=\end{aligned}

a=b=\begin{aligned} & a= \\ & b= \end{aligned}

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