SOLUTION: please help!!!!! simplify if possible or if it cant be simplified write "not possible" (A.) sqrt(a) + sqrt (b) / sqrt (a) - sqrt (b) (B.) sqrt(5) +1 / sqrt (5) -1

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A.)
It can be simplified by getting rid of the radicals in the denominator
To do this, multiply it by the conjugate of the denominator:
Any expression over itself, is one, so we are not changing anything, right?
:
FOIL
* =
:
combine the middle terms in the numerator, the middle terms in the denominator
cancel, getting rid of the radicals.

:
:
(B.)
Follow the same procedure, multiply by the conjugate of the denominator:
FOIL
* = = =
:
Note that this fraction can be reduced, divide each term by 2 and you have

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Could you follow this OK? Any questions