Đáp án+Giải thích các bước giải:
x = ($\sqrt{22}$ - 2). $\sqrt{\dfrac{13}{2} + \sqrt{22}}$
=($\sqrt{22}$ - 2). $\sqrt{\dfrac{13 + 2\sqrt{22}}{2}}$
= $\sqrt{2}$.($\sqrt{11}$ - $\sqrt{2}$) . $\sqrt{\dfrac{11 + 2\sqrt{22} + 2}{2}}$
= $\sqrt{2}$. $\sqrt{\sqrt{11} - \sqrt{2}}$ . $\dfrac{(\sqrt{11} + \sqrt{2})²}{\sqrt{2}}$
= $\sqrt{2}$. $\sqrt{\sqrt{11} - \sqrt{2}}$ . $\dfrac{\sqrt{11} + \sqrt{2}}{\sqrt{2}}$
= $\sqrt{\sqrt{11} + \sqrt{2}}$ . $\sqrt{11 - 2}$
= 3$\sqrt{\sqrt{11} + \sqrt{2}}$