\(\sqrt{( \sqrt{7-2 \sqrt{10} }+ \sqrt{2} )*2 \sqrt{5} }= \\ = \sqrt{( \sqrt{2-2 \sqrt{2*5}+5 }+ \sqrt{2} )*2 \sqrt{5} }= \\ \sqrt{( \sqrt{( \sqrt{2}- \sqrt{5})^{2} }+ \sqrt{2} )*2 \sqrt{5} }= \\ \sqrt{( \sqrt{5}- \sqrt{2} + \sqrt{2} )*2 \sqrt{5} }= \\ \sqrt{ \sqrt{5} *2 \sqrt{5} }= \\ \sqrt{2*5} = \sqrt{10}\)
HAVE A NICE DAY!! ^^
