Question

  giúp e câu này vs aa

e) \(\frac{4}{\sqrt{7} - \sqrt{3}} + \frac{4}{\sqrt{7} + \sqrt{3}} + 2\sqrt{3}\)

Answer 1

e) \(...=\dfrac{4\left(\sqrt{7}+\sqrt{3}\right)-4\left(\sqrt{7}-\sqrt{3}\right)}{\left(\sqrt{7}+\sqrt{3}\right)\left(\sqrt{7}-\sqrt{3}\right)}+2\sqrt{3}\)

\(=\dfrac{4\sqrt{7}+4\sqrt{3}-4\sqrt{7}+4\sqrt{3}}{7-3}+2\sqrt{3}\)

\(=\dfrac{8\sqrt{3}}{4}+2\sqrt{3}=2\sqrt{3}+2\sqrt{3}=4\sqrt{3}\)