AQA C1 2012 January — Question 3

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2012
SessionJanuary
TopicIndices and Surds

3
    1. Simplify \(( 3 \sqrt { 2 } ) ^ { 2 }\).
    2. Show that \(( 3 \sqrt { 2 } - 1 ) ^ { 2 } + ( 3 + \sqrt { 2 } ) ^ { 2 }\) is an integer and find its value.
  1. Express \(\frac { 4 \sqrt { 5 } - 7 \sqrt { 2 } } { 2 \sqrt { 5 } + \sqrt { 2 } }\) in the form \(m - \sqrt { n }\), where \(m\) and \(n\) are integers.