Question

$\sqrt{2} * \sqrt{2+ \sqrt{2} } * \sqrt{2+ \sqrt{2+ \sqrt{2} } } * \sqrt{2 - \sqrt{2+ \sqrt{2} } }$

Answer 1

$...=\sqrt2\cdot\sqrt{2+\sqr2}\cdot \sqrt{(2+\sqrt{2+\sqrt2})(2-\sqrt{2+\sqrt2})}=$

$=2\sqrt2\sqrt{2+\sqrt2}\cdot\sqrt{4-2+\sqrt2}=2\sqrt2\sqrt{4-2}=4$