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Question Number 207385 by hardmath last updated on 13/May/24

$$\mathrm{Find}:$$$$\sqrt{{(2,5-\sqrt{5})}^2}-\sqrt[3]{{{(1,5-\sqrt{5})}^3)}^{\frac{1}{2}}}-\sqrt{2}\sin \frac{7\pi }{4}$$

Commented by Frix last updated on 13/May/24

$$=\frac{7}{2}-\sqrt{5}-\frac{\sqrt{6(-3+2\sqrt{5})}}{4}-\frac{\sqrt{2(-3+2\sqrt{5}}}{4}\mathrm{i}$$$$\approx .520930688-.428972021\mathrm{i}$$

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