AQA C1 2006 June — Question 4

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2006
SessionJune
TopicIndices and Surds

4
  1. Express \(( 4 \sqrt { 5 } - 1 ) ( \sqrt { 5 } + 3 )\) in the form \(p + q \sqrt { 5 }\), where \(p\) and \(q\) are integers.
  2. Show that \(\frac { \sqrt { 75 } - \sqrt { 27 } } { \sqrt { 3 } }\) is an integer and find its value.