Question

am nevoie de ajutor

Answer 1

Amplifici prima fractie cu 1-¬/2
A doua cu ¬/2-¬/3
Si a triea cu ¬/3-¬/4

$=\frac{1-\sqrt{2}}{1-2}+\frac{\sqrt{2}-\sqrt{3}}{2-3}+\frac{\sqrt{3}-\sqrt{4}}{3-4}=$

$=-(1-\sqrt{2})-(\sqrt{2}-\sqrt{3})-(\sqrt{3}-\sqrt{4})=$

$=-1+\sqrt{2}-\sqrt{2}+\sqrt{3}-\sqrt{3}+\sqrt{4}=$

$=-1+\sqrt{4}=$

$=-1+2=$

$\boxed{=1}$