D = V[3*(-10)² +6x(10)²] - V[(-6)² +8² +4*11] D = V[3*100 +6x(10)²] - V[36 +64 +4*11] D = V[3*(10)² +6x(10)²] - V[4*9 +4*16 +4*11] D = V[(3+6)*(10)²] - V[4(9 +16 +11)] D = V[9*(10)²] - V[4*36] D = V[3²*(10)²] - V[2²*6²] D = 3*10 - 2*6 D = 30 - 12 D = 18
^ se lit puissance E = (1.5*10^-2)/(225*10^-4) * (2.25*10^3)/(15*10^-1) E = (1.5*10^-2)/(2.25*10^-2) * (2.25*10^3)/(1.5) E = 1.5/1.5 * 10^-2/10^-2 * 2.25/2.25 * 10^3 E = 10^3 E = 1000
F = (1.75 * 0.48 * 10)/(0.14 * 6² * (0.15)²) or 1.75 = 175*10^-2 = 175*10^-2 = 25*7*10^-2 et 0.48 = 48*10^-2 = 6*2*4*10^-2 et 0.14 = 14*10^-2 = 2*7*10^-2 et 6² = 6*2*3 et 0.15² = 0.0225 = 225 * 10^-4 = 75*3*10^-4 = 25*3*3*10^-4
donc F = (25*7*10^-2 * 6*2*2*2*10^-2 * 10)/(2*7*10^-2 * 6*2*3 * 25*3*3*10^-2*10^-2) Je simplifie par 25, 7, 10^-2, 6, 2, les 10^-2, j'obtiens : F = (2 * 10)/(3 * 3*3*10^-2) F = (2 * 10*10²)/27 F = 2000/27
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* signifie multiplié par
et v se lit racine
12 = 4*3 = 2² * 3
27 = 9*3 = 3² * 3
75 = 25*3 = 5² * 3
donc
A = 2v12 - 3v27 + 2v75
A = 2v(4*3) - 3v(9*3) +2v(25*3)
A = 2*2v3 -3*3v3 + 2*5v3
A = 4v3 -9v3 + 10v3
A = (4-9+10)v3
A = 5v3
V
B = (3v2)² + (-2v5)² - (-2v7)²
B = 9*2 + 4*5 - 4*7
B = 18 + 20 - 28
B = 10
C = (v6-v2)² - 2(V2-2)(V3+V2) + V24 -V32
C = (V6)²-2V6V2 +(V2)² -2(V2V3 +V2V2 - 2v3 -2V2) + V24 -V32
C = 6 - 2v12 + 2 - 2v6 -2v4 + 4v3 + 4V2 + V(4*6) -V(16*2)
C = 8 - 2*2v3 - 2v6 -2*2 + 4v3 + 4V2 + 2V6 - 4v2
C = 8 -4v3 -2v6 - 4 + 4v3 + 4v2 + 2V6 - 4v2
C = 4 -4v3+v3 -2v6+2v6 +4v2-4v2
C = 4
D = V[3*(-10)² +6x(10)²] - V[(-6)² +8² +4*11]
D = V[3*100 +6x(10)²] - V[36 +64 +4*11]
D = V[3*(10)² +6x(10)²] - V[4*9 +4*16 +4*11]
D = V[(3+6)*(10)²] - V[4(9 +16 +11)]
D = V[9*(10)²] - V[4*36]
D = V[3²*(10)²] - V[2²*6²]
D = 3*10 - 2*6
D = 30 - 12
D = 18
^ se lit puissance
E = (1.5*10^-2)/(225*10^-4) * (2.25*10^3)/(15*10^-1)
E = (1.5*10^-2)/(2.25*10^-2) * (2.25*10^3)/(1.5)
E = 1.5/1.5 * 10^-2/10^-2 * 2.25/2.25 * 10^3
E = 10^3
E = 1000
F = (1.75 * 0.48 * 10)/(0.14 * 6² * (0.15)²)
or 1.75 = 175*10^-2 = 175*10^-2 = 25*7*10^-2
et 0.48 = 48*10^-2 = 6*2*4*10^-2
et 0.14 = 14*10^-2 = 2*7*10^-2
et 6² = 6*2*3
et 0.15² = 0.0225 = 225 * 10^-4 = 75*3*10^-4 = 25*3*3*10^-4
donc
F = (25*7*10^-2 * 6*2*2*2*10^-2 * 10)/(2*7*10^-2 * 6*2*3 * 25*3*3*10^-2*10^-2)
Je simplifie par 25, 7, 10^-2, 6, 2, les 10^-2, j'obtiens :
F = (2 * 10)/(3 * 3*3*10^-2)
F = (2 * 10*10²)/27
F = 2000/27