Question

como eu posso simplificar esse radical reduzindo os termos? 5√3 + √12 - 5√48

Answer 1

$\sqrt{12} = 2*2*3 = 2 \sqrt{3}\\\\\ \sqrt{48} = 2*2*3*2*2 = 4\sqrt{3}\\\\\\ 5\sqrt{3}+2\sqrt{3}-5*4\sqrt{3}\\\\\\ 5\sqrt{3}+2\sqrt{3}-20\sqrt{3}\\\\\ \boxed{-13\sqrt{3}}$