Chứng minh rằng :

a) \(11+6\sqrt{2}=\left(3+\sqrt{2}\right)^2\)

b) \(\sqrt{11+6\sqrt[]{2}}+\sqrt{11-6\sqrt{2}}=6\)

Chứng minh :

a) 8 - 2\(\sqrt{7}\) = ( \(\sqrt{7}-1\) )²

b) \(\sqrt{8-2\sqrt{7}}-\sqrt{8+2\sqrt{7}}=-2\)

Chứng minh :

a) 11 + 6\(\sqrt{2}\) = ( 3 + \(\sqrt{6}\))²

b) \(\sqrt{\sqrt{11}+6\sqrt{2}}\) + \(\sqrt{\sqrt{11}-6\sqrt{2}}\) = 6

Rút gọn biểu thức :

a) \(\sqrt{\left(4-\sqrt{15}\right)^2}\)+ \(\sqrt{15}\)

b) \(\sqrt{\left(2-\sqrt{3}\right)^2}\) + \(\sqrt{\left(1-\sqrt{3}\right)^2}\)