Question

Efetue a operação

.a)5√12 + 3√27 - 2√48 =

Answer 1

$5\sqrt{12}+3\sqrt{27}-2\sqrt{48}~=\\\\\\=~5\sqrt{2~.~2~.~3}+3\sqrt{3~.~3~.~3}-2\sqrt{2~.~2~.~2~.~2~.~3}~= \\\\\\=~5\sqrt{2^2~.~3}+3\sqrt{3~.~3^2}-2\sqrt{2^2~.~2^2~.~3}~=\\\\\\=~5~.~2\sqrt{3}+3~.~3\sqrt{3}-2~.~2~.~2\sqrt{3}~=\\\\\\=~10\sqrt{3}+9\sqrt{3}-8\sqrt{3}~=~\boxed{11\sqrt{3}}$