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Pierrettechauss
@Pierrettechauss
May 2019
1
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Bonjour merci de votre aide
v= racine carré
calculer les racines carrées suivantes en détaillant
exemple: v8=v4*2=v4*v2=2v2
v144=
v27=
9v1/9=
v162=
v75=
v81/4=
v15*v12=
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Verified answer
√144 = √(12×12) = √(12²) = 12
√27 = √(9×3) = √(3²×3) = 3√3
9√(1/9) = √(9²×1/9) = √(81×1/9) = √(81/9) = √9 = √(3²) = 3
√162 = √(18×9) = √(2×9×9) = √(2×3²×3²) = 3×3×√2 = 9√2
√75 = √(25×3) = √(5²×3) = 5√3
√(81/4) = √(9²/2²) = 9/2
√15×√12 = √(15×12) = √(3×5×3×4)
= √(3×5×3×2²)
= √(3²×5×2²)
= 3×2×√5
= 6√5
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Verified answer
√144 = √(12×12) = √(12²) = 12√27 = √(9×3) = √(3²×3) = 3√3
9√(1/9) = √(9²×1/9) = √(81×1/9) = √(81/9) = √9 = √(3²) = 3
√162 = √(18×9) = √(2×9×9) = √(2×3²×3²) = 3×3×√2 = 9√2
√75 = √(25×3) = √(5²×3) = 5√3
√(81/4) = √(9²/2²) = 9/2
√15×√12 = √(15×12) = √(3×5×3×4)
= √(3×5×3×2²)
= √(3²×5×2²)
= 3×2×√5
= 6√5