10. (a) Use the binomial theorem to express \(( \sqrt { 3 } - \sqrt { 2 } ) ^ { 5 }\) in the form \(a \sqrt { 3 } + b \sqrt { 2 }\), where \(a , b\) are integers whose values are to be found.
(b) Given that \(( \sqrt { 3 } - \sqrt { 2 } ) ^ { 5 } \approx 0\), use your answer to part (a) to find an approximate value for \(\sqrt { 6 }\) in the form \(\frac { c } { d }\), where \(c\) and \(d\) are positive integers whose values are to be found.