Question

Please answer this question

Answer 1

• a = 3/2
• b = -1/2

Explanation:

`(√(5)-1)/(√(5)+1)=((√(5)-1)(√(5)-1))/((√(5)+1)(√(5)-1))\\\\=(5-2√(5)+1)/(5-1)=(6-2√(5))/(4)\\\\=(3)/(2)-(1)/(2)√(5)`

Comparing this to the form a+b√5, we see that ...

a = 3/2

b = -1/2