Answer:
[tex] 2 + \sqrt{3} [/tex]
Step-by-step explanation:
[tex] \dfrac{1}{\sqrt{4} - \sqrt{3}} = [/tex]
[tex] = \dfrac{1}{2 - \sqrt{3}} [/tex]
[tex] = \dfrac{1}{2 - \sqrt{3}} \times \dfrac{2 + \sqrt{3}}{2 + \sqrt{3}} [/tex]
[tex] = \dfrac{2 + \sqrt{3}}{(2 - \sqrt{3})(2 + \sqrt{3})} [/tex]
[tex] = \dfrac{2 + \sqrt{3}}{4 - 3} [/tex]
[tex] = \dfrac{2 + \sqrt{3}}{1} [/tex]
[tex] = 2 + \sqrt{3} [/tex]
