Respostas

  • Usuário do Brainly
2013-05-31T21:35:39-03:00

Temos que:

 

(\sqrt{3}-\sqrt{2})^2=(\sqrt{3})^2-2\cdot\sqrt{3}\cdot\sqrt{2}+(\sqrt{2})^2=3-2\sqrt{6}+2=5-2\sqrt{6}

 

2\cdot(1-\sqrt{6})=2-2\sqrt{6}

 

(\sqrt{3}-\sqrt{2})\cdot(\sqrt{3}+\sqrt{2})=(\sqrt{3})^2-(\sqrt{2})^2=3-2=1

 

Logo:

 

(\sqrt{3}-\sqrt{2})^2-2\cdot(1-\sqrt{6})-(\sqrt{3}-\sqrt{2})\cdot(\sqrt{3}-\sqrt{2})=5-2\sqrt{6}-2+2\sqrt{6}-1=2