Cho \({\log _a}b = \sqrt 3 \,\,\left( {a,b > 0;a \ne 1} \right)\), Khi đó \({\log _{\dfrac{{\sqrt b }}{a}}}\sqrt {\dfrac{b}{a}} \) bằng:
A.\(\sqrt 3 - 1.\)
B.\(\dfrac{{\sqrt 3 - 1}}{{\sqrt 3 + 2}}.\)
C.\(\sqrt 3 + 1.\)
D.\(\dfrac{{\sqrt 3 - 1}}{{\sqrt 3 - 2}}.\)