1) a) -2/3V2 = -2V2 / 3V2V2 = -2V2/3*2 = -V2/3
b) 5V3/3V5 = 5V3*V5/3V5V5 = 5V15/3*5 = V15/3
c) -8V2/5V3 = -8V2*V3/5V3V3 = -8V6/5*3 = -8V6/15
2) A = V8*V72*V125
A = V8*3V8*5V5
A = 8*3*5V5
A = 120V5
B = V(3/16)*V(270/64)
B = V3/4*V(9*30)/8
B = (V3*3V30)/(4*8)
B = 3V(3*3*10)/32
B = 9V10/32
3) C= (V27+3V48)/(V3-3V12)
C= (V27+3V48)(V3+3V12)/(V3-3V12)((V3+3V12)
C= (V27*V3 + V27*3V12 + 3V48*V3 + 3V48*3V12)/(3-9*12) 3(1-3*12)=3*-35
C= (V81 + 3V324 + 3V144 + 9V576)/ -105
or V81=9, V324=18, V144=12, V576=24 donc
C= (9+3*18+3*12+3*3*24)/(3*-35)
C= 3(3+18+12+72)/(3*-35)
C = 105/-35
C = 3*35/-35
C = -3
Or -3 est un entier donc C est un entier.
