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2013-02-21T00:08:21-03:00
  • Usuário do Brainly
2013-02-21T10:35:28-03:00

Seja \text{L}=(5-\sqrt{2})^2

 

Observe que:

 

(\text{a}-\text{b})^2=\text{a}^2-2\text{ab}+\text{b}^2

 

Logo, deduzimos que:

 

\text{L}=(5-\sqrt{2})^2=5^2-2\cdot5\cdot\sqrt{2}+(\sqrt{2})^2

 

Contudo, podemos afirmar que:

 

\text{L}=25-10\sqrt{2}+2=27-10\sqrt{2}

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