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.\(\dfrac{{\sqrt 3 - 1}}{{\sqrt 3 - 2}}.\)