Question

Сравните sqrt(2)+sqrt(3) и pi

Answer 1

$1<sqrt2<2; ; ,; ; ; 1<sqrt3<2\\1+1<sqrt2+sqrt3<2+2; ; to ; ; 2<sqrt2+sqrt3<4\\3<pi <4; ; ,; ; pi approx 3,14159\\a); ; sqrt2approx 1,41421; ; ,; ; sqrt3approx 1,73205; ; ,; ; sqrt2+sqrt3approx 3,14626\\underline {sqrt2+sqrt3>pi}$

$b); ; sqrt2+sqrt3; vee pi \\(sqrt2+sqrt3)^2; veepi ^2\\2+2sqrt6+3; vee pi ^2\\5+2sqrt6; vee pi ^2\\5+2cdot 2,449; vee , 3,14^2\\9,898>9,8596; ; ; Rightarrow ; ; (sqrt2+sqrt3^2>pi ^2; ; Rightarrow ; ; underline {sqrt2+sqrt3>pi }$