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ChloeSand
@ChloeSand
April 2019
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Please besoin d'aide :)
3.Ecrire sous la forme a√7 (où a est un entier) le nombre C tel que :
C = 4√7 - 8√28 + √700.
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ficanas06
Verified answer
C = 4√7 - 8√28 + √700.= 4√7 - 8√4*7 + √ 7*100 = 4√7 + 8*√4 *√7 + √7 *
√100 =
4
√7 + 8*2*√7 + 10*√7 = 4√7 + 16√7 +10√7 =
30
√7
1 votes
Thanks 1
extremum
faute de signe dans ce passage 4√7 - 8√4*7 + √ 7*100 = 4√7 + 8*√4 *√7 + √7 * √100
extremum
28 = 4 × 7 et √ 28 = √(4 × 7) = √4 × √7 = 2 √7 car √4 = 2
700 = 100 × 7 et √700 = √(100 × 7) = √100 × √7 = 10 √7 car √100 = 10
C = 4√7 - 8√28 + √700 on remplace √28 par 2 √7 et √700 par 10 √7
C = 4√7 - 8 × 2 √7 + 10 √7
C= 4√7 - 16 √7 + 10 √7
C = ( 4 - 16 + 10 ) √7
C = -2 √7
C est écrite sous la forme a√7 ou a = -2
2 votes
Thanks 1
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Verified answer
C = 4√7 - 8√28 + √700.= 4√7 - 8√4*7 + √ 7*100 = 4√7 + 8*√4 *√7 + √7 * √100 =4√7 + 8*2*√7 + 10*√7 = 4√7 + 16√7 +10√7 = 30√7
700 = 100 × 7 et √700 = √(100 × 7) = √100 × √7 = 10 √7 car √100 = 10
C = 4√7 - 8√28 + √700 on remplace √28 par 2 √7 et √700 par 10 √7
C = 4√7 - 8 × 2 √7 + 10 √7
C= 4√7 - 16 √7 + 10 √7
C = ( 4 - 16 + 10 ) √7
C = -2 √7
C est écrite sous la forme a√7 ou a = -2