find the value of a and b such that 2+5 root 7 2-5root7=a+root7b

Question

find the value of a and b such that   2+5root7              = a+root 7 b                                        

                                                             -------------------

                                                               2-5 root 7

Answer 1

2+5sqrt(72) -5sqrt(7)=a+sqrt(7b)

seem obveeus huever invent this want a=2

so yu hav 5[sqrt(72)-sqrt(7)]=sqrt(7b)

sqrt(72)=8.485281374

sqrt(7)=2.645751311

differ=5.839530063

5*differ=29.19765032=7b

so b=29.../7=4.171092902