Question

find a and b 5+√3 / √5-√3 = 1/2a + 3b√15

Answer 1

Answer:

a= 8. ,b= 1/3

Step-by-step explanation:

(√5+√3) / (√5-√3)= 1/2a + 3b√15

RHS = (√5+√3) / (√5-√3)

multiply and divide with √5+√3

= (√5+√3) (√5+√3)/ (√5-√3)(√5+√3)

= (5 +3+2√15) / (5-3)

= (8+2√15)/2

= 4 + √15

now compare this with LHS

a/2= 4

a= 8

3b = 1

b= 1/3

note: I think there is some question mistake, instead of 5+√3 it should be √5+√3. I assumed that and solved it.