Question

Доказать числовое неравенство.

Answer 1

$( sqrt{3} )^{log_3( sqrt{5}-2 )^2}+( sqrt{2} )^{log_2( sqrt{5}-3 )^2}= \ =( sqrt{3} )^{log_{ sqrt{3} } |sqrt{5}-2 |}+( sqrt{2} )^{log_{sqrt{2}}| sqrt{5}-3|}= \ = |sqrt{5}-2 |+| sqrt{5}-3|=sqrt{5}-2 +3- sqrt{5}=1$