Question

Find the value of 'a' and 'b'if 2÷9+4√5=a+b√5

Answer 1

Answer:

2/(9+4√5) = a+b√5

2(9-4√5)/(9+4√5)(9-4√5)

using (a+b)(a-b)=a²-b²

2(9-4√5)/(9)²-(4√5)²

2(9-4√5)/81-80

(18-8√5)/1

18-8√5 = a+b√5

a=18

-8√5=b√5

b=(-8)