Cho A = \(\dfrac{x+2}{x\sqrt{x}-1}\) + \(\dfrac{\sqrt{x}+1}{x+\sqrt{x}+1}\) + \(\dfrac{1}{1-\sqrt{x}}\) với x \(\ge\) 0, x\(\ne\) 1

a, Rút gọn A

Rút gọn

a,\(\sqrt{227-30\sqrt{2}}\) + \(\sqrt{123+22\sqrt{2}}\)

b,\(\dfrac{\sqrt{6+2\left(\sqrt{6}+\sqrt{3}+\sqrt{2}\right)}-\sqrt{6-2\left(\sqrt{6}-\sqrt{3}+\sqrt{2}\right)}}{\sqrt{2}}\)

c, \(\sqrt{2-\sqrt{3}}\) (\(\sqrt{5}\) + \(\sqrt{2}\))

Tính

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

Tính

a, \(\sqrt{8-\sqrt{28}}\) + \(\sqrt{21+12\sqrt{3}}\)

b, \(\sqrt{5+\sqrt{24}}\) - \(\sqrt{57-40\sqrt{2}}\)

c, \(\sqrt{13-\sqrt{160}}\) + \(\sqrt{53+4\sqrt{90}}\)

Tinh

\(\sqrt{5+2\sqrt{6}}\) - \(\sqrt{13-4\sqrt{3}}\)