2014 Oct Nov Paper 21 & 22 Q9
Integers aa and bb are such that (a+3√5)2+a−b√5=51(a+3√5)2+a−b√5=51. Find the possible values of aa and the corresponding values of bb.
2016 Oct Nov Paper 21 & 22 Q2
Without using a calculator, find the integers aa and bb such that a√3+1+b√3−1=√3−3a√3+1+b√3−1=√3−3.
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2016 May June Paper 21 & 23
Do not use a calculator in this question.
(b) Given that 28+p√3=(q+2√3)228+p√3=(q+2√3)2, where pp and qq are integers, find the values of pp and of qq.