AQA C1 2009 January — Question 3

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2009
SessionJanuary
TopicIndices and Surds

3
  1. Express \(\frac { 7 + \sqrt { 5 } } { 3 + \sqrt { 5 } }\) in the form \(m + n \sqrt { 5 }\), where \(m\) and \(n\) are integers.
  2. Express \(\sqrt { 45 } + \frac { 20 } { \sqrt { 5 } }\) in the form \(k \sqrt { 5 }\), where \(k\) is an integer.