Besoin d’aide svp :
On demande d'écrire 2 racine carré 2 ( 3 racine carré de 2 + 5 ) sous la forme à + b racine carré de k avec a, b entiers relatifs, k entier positif le plus petit possible.

By: USER6636
26 Agustus 2025 mathematiques 5 minutes
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197 views 197 comments 13 shares
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Question

Grade: Education Subject: mathematiques
Besoin d’aide svp :
On demande d'écrire 2 racine carré 2 ( 3 racine carré de 2 + 5 ) sous la forme à + b racine carré de k avec a, b entiers relatifs, k entier positif le plus petit possible.
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Answer (197)

Best Answer
(194)

Salut!!!

Mettons 2√2(3√2 + 5) sous la forme de a + b√k:

2√2(3√2 + 5)

6 × 2 + 10√2

12 + 10√2

J'espère que j'ai pu vous aider :))

Merci ^_^

Answered on 26 Agustus 2025
(148)

Bonsoir

2 √ 2 ( 3√2+5 )

= 2√ 2 * 3√2 + 5 * 2√2

= 6 √ 4 + 10√2

= 6*2 + 10√2

= 12 + 10√2

Answered on 26 Agustus 2025

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