Question

Sa se calculeze radical din 12la2 +5la2+ radical de ordin3 din 8- radical de ordin3 din216

Answer 1

   
[tex]\displaystyle \bf \\ \sqrt{12^2 + 5^2}+ \sqrt[\b3]{\bf8}- \sqrt[\b3]{\bf216}=\\\\ =\sqrt{144 + 25}+ \sqrt[\b3]{\bf 8}- \sqrt[\b3]{\bf 216}=\\\\ =\sqrt{169}+ \sqrt[\b3]{\bf 8}- \sqrt[\b3]{\bf 216}=\\\\ =\sqrt{13^2}+ \sqrt[\b3]{\bf 2^3}- \sqrt[\b3]{\bf 6^3}=\\\\ =13+2-6 = 15-6 = \boxed{\bf 9} [/tex]