Question

Thực hiện phép tính:

Answer 1

\(=\dfrac{5\left(4+\sqrt{11}\right)}{16-11}+\dfrac{3-\sqrt{7}}{9-7}-\dfrac{6\left(\sqrt{7}+2\right)}{7-4}-\dfrac{\sqrt{7}-5}{2}\)

\(=4+\sqrt{11}-2\sqrt{7}-4+\dfrac{3-\sqrt{7}-\sqrt{7}+5}{2}\)

\(=\sqrt{11}-2\sqrt{7}+4-\sqrt{7}=4+\sqrt{11}-3\sqrt{7}\)

Answer 2

\(=\dfrac{5\left(4+\sqrt{11}\right)}{5}+\dfrac{3-\sqrt{7}}{2}-\dfrac{6\left(\sqrt{7}+2\right)}{3}-\dfrac{\sqrt{7}-5}{2}\\ =4+\sqrt{11}+\dfrac{3-\sqrt{7}}{2}-\dfrac{\sqrt{7}-5}{2}-2\sqrt{7}-4\\ =\sqrt{11}-2\sqrt{7}+\dfrac{8-2\sqrt{7}}{2}\\ =\sqrt{11}-2\sqrt{7}+4-\sqrt{7}=4+\sqrt{11}-3\sqrt{7}\)