Решите 557 пж ................

Решите задачу:

$\sqrt{2+ \sqrt{3} }* \sqrt{2+ \sqrt{2+ \sqrt{3} }}* \sqrt{2- \sqrt{2+ \sqrt{3} }} = \\ \\ = \sqrt{2+ \sqrt{3} }* \sqrt{(2+ \sqrt{2+ \sqrt{3} })(2-\sqrt{2+ \sqrt{3} })} = \\ \\ \sqrt{2+ \sqrt{3} }* \sqrt{2^2- (\sqrt{2+ \sqrt{3} })^2}=\sqrt{2+ \sqrt{3} }* \sqrt{4- (2+ \sqrt{3} })}= \\ \\=\sqrt{2+ \sqrt{3} }* \sqrt{4- 2- \sqrt{3} })}= \sqrt{2+ \sqrt{3} }* \sqrt{2- \sqrt{3} }}=\\ \\ \sqrt{(2+ \sqrt{3} )(2- \sqrt{3} )} = \sqrt{4-3}= \sqrt{1}=1$