Question

Escreva na forma de um unico radical
√27-√12+√108

Answer 1

$\sqrt{27}-\sqrt{12}+\sqrt{108}=\\\\\sqrt{3^3}-\sqrt{2^2\cdot3}+\sqrt{2^2\cdot3^3}=\\\\3\sqrt{3}-2\sqrt{3}+2\cdot3\sqrt{3}=\\\\3\sqrt{3}-2\sqrt{3}+6\sqrt{3}=\\\\\boxed{7\sqrt{3}}$