wholeroo t(root 5+2)+wholeroot (roo t5-2)
/roo t5+1 -wholeroot (3-2 root2)

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Solution

$Dear Student, \frac{\sqrt{\sqrt{5} + 2} + \sqrt{\sqrt{5} - 2}}{\sqrt{5} + 1 - \sqrt{3 - 2 \sqrt{2}}} = \frac{\sqrt{\sqrt{5} + 2} + \sqrt{\sqrt{5} - 2}}{\sqrt{5} + 1 - \sqrt{{(\sqrt{2})}^{2} + 1^{2} - 2 \sqrt{2}}} = \frac{\sqrt{\sqrt{5} + 2} + \sqrt{\sqrt{5} - 2}}{\sqrt{5} + 1 - \sqrt{{(1 - \sqrt{2})}^{2}}} = \frac{\sqrt{\sqrt{5} + 2} + \sqrt{\sqrt{5} - 2}}{\sqrt{5} + 1 - (1 - \sqrt{2})} = \frac{\sqrt{\sqrt{5} + 2} + \sqrt{\sqrt{5} - 2}}{\sqrt{5} + \sqrt{2}} \times \frac{\sqrt{5} - \sqrt{2}}{\sqrt{5} - \sqrt{2}} = \frac{\sqrt{5 + 2 \sqrt{5}} + \sqrt{5 - 2 \sqrt{5}} - \sqrt{\sqrt{10} + 2 \sqrt{2}} - \sqrt{\sqrt{10} - 2 \sqrt{2}}}{3} Regards$

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