Respostas

  • Usuário do Brainly
2013-05-27T22:12:59-03:00

Temos que:

 

\text{m}=-2+\sqrt{147}=-2+7\sqrt{3}

 

\text{n}=1-\sqrt{75}=1-5\sqrt{3}

 

\text{p}=5+\sqrt{48}=5+4\sqrt{3}

 

Logo, podemos afirmar que:

 

\text{a}=\text{m}+\text{n}+\text{p}=(-2+7\sqrt{3})+(1-5\sqrt{3})+(5+4\sqrt{3})=4+6\sqrt{3}=2\cdot(2+3\sqrt{3})

 

E \text{b}=\text{m}-\text{n}-\text{p}=(-2+7\sqrt{3})-(1-5\sqrt{3})-(5+4\sqrt{3})=-8+8\sqrt{3}=8\cdot(\sqrt{3}-1)