prove-3-2-9-4-2-2-2-

Question Number 139468 by mathdanisur last updated on 27/Apr/21

p r o v e : \sqrt{3 + \sqrt{2} - \sqrt{9 + 4 \sqrt{2}}} = \sqrt{2 - \sqrt{2}}

Answered by OlafThorendsen last updated on 27/Apr/21

x = \sqrt{3 + \sqrt{2} - \sqrt{9 + 4 \sqrt{2}}}

x = \sqrt{3 + \sqrt{2} - \sqrt{{(1 + 2 \sqrt{2})}^{2}}}

x = \sqrt{3 + \sqrt{2} - (1 + 2 \sqrt{2})}

x = \sqrt{2 - \sqrt{2}}

Commented by mathdanisur last updated on 02/May/21

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