Question

|$\sqrt{3}$ - $\sqrt{5}$| + |$\sqrt{3}$ + $\sqrt{5}$| - |3-2$\sqrt{5}$|

Answer 1

[tex]| \sqrt{3}- \sqrt{5}|+| \sqrt{3}+ \sqrt{5}|-|3-2 \sqrt{5}|= \\ \\ \sqrt{3}~\boxed{<} \sqrt{5} \longrightarrow | \sqrt{3}- \sqrt{5}|=\sqrt{5}-\sqrt{3} \\ \\ 3~\boxed{<}~2 \sqrt{5}|^2 \\ \\ 9~\boxed{<}~20 \longrightarrow |3-2 \sqrt{5}|=2 \sqrt{5}-3 \\ \\ \sqrt{5}- \sqrt{\not 3}+ \sqrt{\not 3}+ \sqrt{5}-(2 \sqrt{5}-3)= \\ \\ 2 \sqrt{5}-2 \sqrt{5}+3= \\ \\ \boxed{Raspuns:3} [/tex]