Question 4 - A-Level Maths

Exam Board	AQA
Module	C4 (Core Mathematics 4)
Year	2009
Session	January
Topic	Generalised Binomial Theorem
Type	Factoring out constants before expansion

1. Find the binomial expansion of \(( 1 - x ) ^ { \frac { 1 } { 2 } }\) up to and including the term in \(x ^ { 2 }\).
  (2 marks)
2. Hence obtain the binomial expansion of \(\sqrt { 4 - x }\) up to and including the term in \(x ^ { 2 }\).
  (3 marks)
Use your answer to part (a)(ii) to find an approximate value for \(\sqrt { 3 }\). Give your answer to three decimal places.