Question

Efectuati:[(12/2√45-9/3√20+1/4√80)○(√5)²]:(3√5/4)²
DAU CORONITA

Answer 1

Răspuns:

Explicație pas cu pas:

[(12/2√45-9/3√20+1/4√80)○(√5)²]:(3√5/4)²

12/2√45 = 6/√45 = 6/3√5 = 2/√5 = 2√5/5

9/3√20 = 3/√20 = 3/2√5 = 3√5/10

1/4√80 =  √80/4*80 = 4√5/4*80 = √5/80

2√5/5 - 3√5/10 + √5/80 = 32√5/80 - 24√5/80 + √5/80 = 9√5/80

9√5/80 *5 = 9√5/16

(3√5/4)² = 45/16

9√5/16 : 45/16 = 9√5/16 * 16/45 = √5/5