Question

determine a and b, if √7 + √5 / √7 - √5 - √7 - √5 / √7 + √5 <br />= a + √35 b.

Answer 1

On rationalisation of Lhs we get
(1+2rot35) /2
=1/2+rot35
Therefore a=1/2 and b=1..

Answer 2

Heya____

Solution ______

First rationalize the LHS ____

(√7+√5)(√7+√5) -(√7-√5)+√7-√5) / (√7-√5) (√7+√5) = a+√35b

Multiplying equation ___

(√7+√5-√7√5 )/ 7-5 = a+√35b

(2√7) (2√5)/2 = a+√35b

2√7*5 = a+√35b

a = 0 _____ b = 2 ____

Thank you