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[tex] \sqrt{2}*( \sqrt{8+ \sqrt{2}* \sqrt{9 +\sqrt{17} } } +\sqrt{8- \sqrt{2}* \sqrt{9 -\sqrt{17} } } )
[/tex]
[tex] \sqrt{2}*( \sqrt{8+ \sqrt{2}* \sqrt{9 +\sqrt{17} } } +\sqrt{8- \sqrt{2}* \sqrt{9 -\sqrt{17} } } )
[/tex]
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√2*√(9-√17)=√(18-2√17)=√(17-2√17+1)=√17-1√2*√(8-√2*√(9-√17)) = √2*√(8-(√17-1))=√2*√(9-√17)=√17-1
√2*√(9+√17)=√(18+2√17)=√(17+2√17+1)=√17+1
√2*√(8+√2*√(9+√17)) = √2*√(8+(√17+1))=√2*√(9+√17)=√17+1
√2*√(8-√2*√(9-√17))+√2*√(8+√2*√(9+√17)) =√17-1+√17+1=2√17