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Sandelonda1
@Sandelonda1
January 2021
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aidez moi svp 3√3 sur 11√3-3 donne combien ( tout en rendant rationnel son dénominateur)
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laurance
3√3 sur 11√3-3 = 3√3(11√3+3 ) sur (11√3-3 )(11√3+3 )
or (11√3-3 )(11√3+3 ) = 11² x 3 - 3² = 121 x 3 - 9 = 363 -9 = 354
et
3√3(11√3+3 ) = 9√3 + 33x 3 = (9√3+99 )
3√3 sur 11√3-3 = (9√3+99 ) / 354 = (3√3+33 ) / 118
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or (11√3-3 )(11√3+3 ) = 11² x 3 - 3² = 121 x 3 - 9 = 363 -9 = 354
et
3√3(11√3+3 ) = 9√3 + 33x 3 = (9√3+99 )
3√3 sur 11√3-3 = (9√3+99 ) / 354 = (3√3+33 ) / 118