Question

show that (a+b)^(-1)×(a^(-1)+b^(-1))=1/ab​

Answer 1

Step-by-step explanation:

Hence proved .

Step-by-step explanation:

To prove :

Proof :

Taking LHS,

5+2√3/7+4√3

=5+2√3/7+4√3*(7-4√3/7-4√3)

=[(5+2√3)(7-4√3)] / 49-48

=5(7-4√3)+2√3(7-4√3)

=35-20√3+14√3-24

=11-6√3

=11+(-6)√3

Therfore, a=11 and b=(-6)

Hence proved.

#Learn more

If 2(a^2+b^2)=(a+b)^2 prove that a=b