Question

-1/1- raiz de 2 - 1/raiz de 2+1

Answer 1

Explicação passo-a-passo:

$-{1\over1-\sqrt{2} }-{1\over\sqrt{2} +1}=\\ \\ mmc(1-\sqrt{2} )(\sqrt{2} +1)\\ \\ {-1(\sqrt{2} +1)-1(1-\sqrt{2} )\over(1-\sqrt{2} )(1+\sqrt{2} )}=\\ \\ {-\sqrt{2} -1-1+\sqrt{2} \over1^2-\sqrt{2^2} }=\\ \\ {-2\over1-2}={-2\over-1}=2$

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ou direto

${-1-1\over(1-\sqrt{2} )(1+\sqrt{2} )}=\\ \\ {-2\over1^2-(\sqrt{2} )^2}=\\ \\ {-2\over1-2}=\\ \\ {-2\over-1}=2$