Răspuns:
Explicație pas cu pas:
b)
A = 4√54(3√98 - 4√50 + 5√108 - 6√75)
= 4√9*6*(3√2*49 - 4√2*25 + 5√3*36 - 6√3*25) =
= 12√6*(21√2 - 20√2 + 30√3 - 30√3) = 12√6*√2 = 12√12 = 12√4*3 = 24√3
B = 3√150(3√192 - 6√72 - 4√108 + 8√32)
= 3√25*6*(3√64*3 - 6√36*2 - 4√36*3 + 8√16*2)
= 15√6*(24√3 - 36√2 - 24√3 + 32√2)
= 15√6*(-4√2) = -60√12 = -60√4*3 = -120√3
A*B = 24√3*(-120√3) = -24*120*3 = -8640
A/B = 24√3/-120√3 = -24/120 = -6/30 = -1/5
