1 In this question you must show detailed reasoning.
- Express \(3 ^ { \frac { 7 } { 2 } }\) in the form \(a \sqrt { b }\), where \(a\) is an integer and \(b\) is a prime number.
- Express \(\frac { \sqrt { 2 } } { 1 - \sqrt { 2 } }\) in the form \(c + d \sqrt { e }\), where \(c\) and \(d\) are integers and \(e\) is a prime number.