Question

if 1/(√7-√5) - 1/2√5-√7 = a√5 - b√7 then find the value of a and b​

Answer 1

Solution

(√7+√5)(√7-√5) is in the form of

(a+b) (a-b)=a^2 - b^2

So let a=√7+√5 and b=√7-√5

a^2 - b^2= (√7)^2 - (√5)^2

=7–5

=2

So n=2

Therefore 1/n= 1/2

So the answer is 1/2