Question

Aratati ca numarul a = Sub radical 7+4radical3 - radical 3, e un numar natural

Answer 1

[tex]a= \sqrt{7+4 \sqrt{3} } - \sqrt{3} = \sqrt{(2+ \sqrt{3})^2 } - \sqrt{3} = \\ =|2+\sqrt{3}|-\sqrt{3}= 2+ \sqrt{3}- \sqrt{3}= 2\in N[/tex]