[10+2 6+2 10+2 15]

[Zlatinster]

√[10+2√6+2√10+2√15]=

[Реклама]

[M_Velinova]

[tex]\sqrt{10+2\sqrt{6}+2\sqrt{10}+2\sqrt{15}}=[/tex]
[tex]=\sqrt{5+(\sqrt{2})^2+2\sqrt{2}\sqrt{3}+(\sqrt{3})^2+2\sqrt{5}( \sqrt{2}+ \sqrt{3})}=[/tex]
[tex]\sqrt{5+(\sqrt{2}+\sqrt{3})^2+2\sqrt{5}(\sqrt{2}+\sqrt{3})}=[/tex]
[tex]\sqrt{(\sqrt{2}+\sqrt{3}+\sqrt{5})^2}=\sqrt{2}+\sqrt{3}+\sqrt{5}[/tex]