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Question Number 190024 by Shrinava last updated on 26/Mar/23

$$\mathrm{Find}:$$$$\sqrt{4+\sqrt{2}}\cdot \sqrt{3+\sqrt{5+\sqrt{2}}}\cdot \sqrt{3-\sqrt{5+\sqrt{2}}}+\mid \sqrt{14}-4\mid$$

Answered by SEKRET last updated on 26/Mar/23

$$\sqrt{4+\sqrt{2}}\sqrt{3^2-(5+\sqrt{2})}+4-\sqrt{14}$$$$\sqrt{4+\sqrt{2}}\sqrt{4-\sqrt{2}}+4-\sqrt{14}$$$$\sqrt{4^2-2}+4-\sqrt{14}$$$$\sqrt{14}+4-\sqrt{14}$$$$4\mathbf{answer}$$$$$$

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