Răspuns: 2√5
Explicație pas cu pas:
2/√45 = 2/3√5 = 2√5/15
____________________
1/2√5 - 1/3√5 = √5/10 - √5/15 = 3√5/30 - 2√5/30 = √5/30 prima paranteza
___________________________________________
1 / (√5/30) = 1 × 30/√5 = 30√5/5 = 6√5
________________________________
1/(√5-√3) - √3/2 = (√5+√3)/(5-3) - √3/2 = √5/2 a doua paranteza
________________________________________
= 2√5/15 x ( 6√5 x √5/2 ) =
= 2√5/15 × ( 3 × 5) =
= (2√5/15) × 15 =
= 2√5
