Aidez moi si vous plait! :$
Mathématiques
laetitialecomte
Question
Aidez moi si vous plait! :$
1 Réponse
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1. Réponse alexisdelee
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