Question

4+3√5/4-3√5 = a+b√5,a, b are rational number, then (a,b)

Answer 1

hope this answer might help you

Answer 2

4+3√5 / 4-3√5 = a+b√5

Multiplying by 4-3√5

(4-3√5)²/4²-(3√5)²  

= 16+45-24√5/16-45  

= 61-24√5/29  

= 61/29 - 24/29√5 .

= a + b√5 .

So now a = 61/29 , b = -24/29