Mathématiques

Question

Aidez moi si vous plait! :$
Aidez moi si vous plait! :$

1 Réponse

  • A) racine(45) = racine(9 * 5) = 9 * racine(5)

    B) racine(20) = racine(5 * 4) = 2 * racine(5)

    C) racine(125) = racine(25 * 5) = 5 * racine(5)

    D) racine(45) * racine(20) * racine(125)
    = 9 * racine(5) * 2 * racine(5) * 5 * racine(5)
    = 90 * 5 * racine(5)
    = 450 * racine(5)

    E) racine(45) + racine(20) + racine(125)
    = 9 * racine(5) + 2 * racine(5) + 5 * racine(5)
    = 16 * racine(5)

    F) (racine(3) + 1)² = 3 + 1 + 2 * racine(3) = 4 + 2 * racine(3)

    G) (racine(3) - 1)² = 3 + 1 - 2 * racine(3) = 4 - 2 * racine(3)

    H) (racine(3) + 1)(racine(3) - 1)
    = 3 - racine(3) + racine(3) - 1
    = 3 - 1
    = 2

    I) (1 + racine(3))(1 - racine(3))
    = 1 - racine(3) + racine(3) - 3
    = 1 - 3
    = -2

    J) (racine(3) + 1)² - (racine(3) - 1)²
    = 3 + 1 + 2 * racine(3) - (3 + 1 - 2 * racine(3))
    = 4 + 2 * racine(3) - 4 + 2 * racine(3)
    = 12