Question

Спростити вираз:
V(3-V5)^2-V(2-V5)^2

Answer 1

$sqrt{(3-sqrt5)^2}-sqrt{(2-sqrt5)^2}=|3-sqrt5|-|2-sqrt5|=\\=(3-sqrt5)-(sqrt5-2)=3-sqrt5-sqrt5+2=5-2sqrt5=sqrt5(sqrt5-2)\\|3-sqrt5|=3-sqrt5,; tak; kak; 3-sqrt5approx 3-2,24=0,76>0\\|2-sqrt5|=-(2-sqrt5)=sqrt5-2,; tak; kak; 2-sqrt5approx 2-2,24<0$