Do not use a calculator in this question.

(a) Simplify

\((\sqrt2+2\sqrt5)(4\sqrt2-3\sqrt5),\)

giving your answer in the form \(a+b\sqrt c\), where \(a\), \(b\) and \(c\) are integers.

(b) Simplify

\(\frac{4-3\sqrt6}{\sqrt3+\sqrt2},\)

giving your answer in the form \(p\sqrt3+q\sqrt2\), where \(p\) and \(q\) are integers.