Question

Find the value of a and b if:
7+3√5/2+√5 - 7-3√5/
2-√5
=a +b√5
.​

Answer 1

Answer:

(7+3√5) (3-√5) - (7-3√5) (3+√5)/(3+√5) (3-√5)

=21-7√5+9√5-15-21-7√5+9√5+15/9-5

4√5/4

=√5

Answer 2

Answer:

a=0 b=2

Step-by-step explanation:

first take LCM of LHS

you get

[ (7+3√5)(2-√5) - (7-3√5)(2+√5) ]/ 4 - 5

then open brackets

you get

(14 - 7√5 +6√5 -15 -14 -7√5 +6√5 +15 )/ -1

further solving

you get

2√5 = a +b√5

comparing LHS WITH RHS

we get

a=0 and b=2

it may be wrong btw

let us know if there is another equation of a and b...