9. (a) Express each of the following in the form \(p + q \sqrt { 2 }\) where \(p\) and \(q\) are rational.
- \(( 4 - 3 \sqrt { 2 } ) ^ { 2 }\)
- \(\frac { 1 } { 2 + \sqrt { 2 } }\)
(b) (i) Solve the equation
$$y ^ { 2 } + 8 = 9 y .$$ - Hence solve the equation
$$x ^ { 3 } + 8 = 9 x ^ { \frac { 3 } { 2 } } .$$