√[(6+√12)] = √(6 + 2√3) = √[2(3 + √3)] = √2 * √(3 + √3)
[tex]\sqrt{6+\sqrt{12}}=\sqrt{6+2\sqrt{3}}=\sqrt{2(3+\sqrt{3})}=\sqrt{2}*\sqrt{3+\sqrt{3}}[/tex]
Pozdrawiam :)