Rationalize the denominator.

(Square root of (b)+(square root of (3))/(square root of (b)-(square root of (3)).

(b^.5 + 3^.5)*(b^.5 + 3^.5)

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(b^.5 - 3^.5)(b^.5 + 3^.5)

is

(b + 2(3b)^.5 + 3)
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(b-3)