Multiplication Des Radicaux

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Opérations sur les radicaux A)Multiplication des radicaux On donne

a et

Règles :

a× b =

b deux nombres positifs. a ×b

(Avant de calculer a ×b , on simplifie si c’est possible)

m a ×n b = m ×n a ×b

(Avant de calculer a ×b , on simplifie si c’est possible)

Remarques : Des fois c’est possible de simplifier

Exemples :

a

ou

b

puis de calculer en utilisant 2eme règle.

14 × 21 = 14 × 21 = 7 × 2 ×7 ×3 = 7 2 ×3 = 7 6

32 × 75 = 3

32 × 75 16 × 2 × 25 × 3 = = 16 × 2 × 25 = 4 × 5 2 = 20 2 3 3

16 × 98 = 4 × 49 × 2 = 4 ×7 2 = 28 2

48 × 2 72 = 2 48 ×72 = 2 16 ×3 × 4 × 2 ×9 = 2 × 4 × 2 ×3 2 ×3 = 48 6

25 5 25 16 5 4 20 × = × = car est un carré parfait c’est le carré de . 9 3 9 49 3 7 21 4 16 De même pour c’est le carré de 7 49

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