Question

thực hiện phép tính sau

\(\left(\sqrt{\sqrt{11}+\sqrt{7}}-\sqrt{\sqrt{11}-\sqrt{7}}\right)^2\)

Answer 1

`(\sqrt{\sqrt{11}+\sqrt{7}}-\sqrt{\sqrt{11}-\sqrt{7}})^2`

`=\sqrt{11}+\sqr{7}+\sqrt{11}-\sqrt{7}-2\sqrt{(\sqrt{11}+\sqrt{7})(\sqrt{11}-\sqrt{7})}`

`=2\sqrt{11}-2\sqrt{11-7}`

`=2\sqrt{11}-2\sqrt{4}`

`=2\sqrt{11}-4`

Answer 2

`= sqrt 11 + sqrt 7 + sqrt 11 - sqrt 7 - 2 . sqrt(11-7)`

`= 2 sqrt 11 - 2 . 2 `

`= 2  sqrt 11 - 4.`