Verified answer

OK

The key is always to get the radical out of the denominator. So....

(sqrt6 +1) / (sqrt6 -2) ; multiply the top and bottom by sqrt 6 +2

(sqrt6 +1)(sqrt6 +2) / (sqrt6 -2)(sqrt6 +2) ; now you will get the radical out of the denominator

6 +sqrt6 + 2sqrt6 +2 / 6 - 4

8 + 3sqrt6 / 2

Now -- let's try to prove it:

Use sqrt6 = 2.4495

2.4495+1 / 2.4495 -2

= 3.4495 /.4495

= 7.674

8 + 3(2.4495) /2

= 8 + 7.3485 /2

=15.3485/2

=7.674

Hope that helps.

√(6+1)/√6-2) = √7/2 or 1.3228