Question

√7-1/√7+1=a+b√7 find a and b

Answer 1

I THINK..THIS SHOULD BE YOUR ANSWER...⬆⬆

Answer 2

LHS=

√7-1...........√7+1
--------- - .....---------
√7+1.............√7-1

(√7-1)²-(√7+1)²
=-------------------
.........7-1

(7+1-2√7-7-1-2√7)
=-------------------------
..............6


-4√7
=------
...6

-2√7
=------
.....3

So, on comparing LHS with RHS
we get
a = 0 and b = -2/3