Respuesta :
[tex] - 1[/tex]
hope it helps
see the attachment for the explanation

Q) [tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex] = ?
→ [tex]-\sqrt{3} + \sqrt{(\sqrt{3}-1)^2 }[/tex]
→ [tex]-\sqrt{3} + {\sqrt{3}-1 }[/tex]
→ [tex](-\sqrt{3} + \sqrt{3})-1[/tex]
→ -1 is the final answer.