Question

Aratati ca numarul a=|√5-3| + $\frac{4}{3- \sqrt{5}}$ este intreg.

Answer 1

4/ (3-√5)  rationalizam cu 3+√5

4(3+√5)/9-5= 4(3+√5)/4= 3+√5

a=|√5-3| +3+√5

a=-√5+3 +3 +√5

a=3+3

a=6