Mathématiques

Question

Ecrire de la façon la plus simple pissible:
C= 4 3
------- + --------
1- V2 1 + V2


V2 = RACINE CARRE DE 2

Svp aider moi je suis vraiment nul en maths

1 Réponse

  • Bonjour Vivii

    [tex]C=\dfrac{4}{1-\sqrt{2}}+\dfrac{3}{1+\sqrt{2}}\\\\C=\dfrac{4(1+\sqrt{2})}{(1-\sqrt{2})(1+\sqrt{2})}+\dfrac{3(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}\\\\C=\dfrac{4(1+\sqrt{2})+3(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}\\\\C=\dfrac{4+4\sqrt{2}+3-3\sqrt{2})}{1^2-(\sqrt{2})^2}\\\\C=\dfrac{7+\sqrt{2}}{1-2}\\\\C=\dfrac{7+\sqrt{2}}{-1}[/tex]

    [tex]\boxed{C=-7-\sqrt{2}}[/tex]

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