AQA C1 2010 June — Question 2

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2010
SessionJune
TopicIndices and Surds

2
  1. Express \(( 3 - \sqrt { 5 } ) ^ { 2 }\) in the form \(m + n \sqrt { 5 }\), where \(m\) and \(n\) are integers.
  2. Hence express \(\frac { ( 3 - \sqrt { 5 } ) ^ { 2 } } { 1 + \sqrt { 5 } }\) in the form \(p + q \sqrt { 5 }\), where \(p\) and \(q\) are integers.
    (4 marks)