Question

$\frac{3 + \sqrt{5} }{?3 - \sqrt{5 } } = a \sqrt{5 } + b$
Find the value of a and b if​

Answer 1

Answer:

Answer in the attachment..

Hope it helps you

Answer 2

Step-by-step explanation:

3+√5

------- = a√5 + b

3-√5

on rationalizing,

9 +25 +6√5

----------------- = a√5 + b

9 - 5

34 + 6√5

-------------- = a√5 + b

4

34 6√5

---- + ------ = a√5 + b

4 4

17 3√5

--- + ------- = b + a√5

2 2

HENCE, by similarities

a= 3/5 while b= 17/2

hope you like it

Happy to help you