Question

Pe 4 va rog frumos
Dau coroana +28 de puncte!!!!!

Answer 1

√27 + √12 - √75 =

= 3√3 + 2√3 - 5√3

= 5√3 - 5√3

= 0

[(√3 - 1)/√3 + (√5-√3)/√15 + (√7-√5)/√35 + (√9-√7)/√63]×(1/√3)⁻² =

= [(√3-1)√3/3 + (√5-√3)√15/15 + (√7-√5)√35/35 + (3-√7)/3√7]×(√3)²

= [(3-√3)/3 + (√75-√45)/15 + (√245-√175)/35 + (3√7-7)/21]×3

= 3(3-√3)/3 + 3(5√3-3√5)/15 + 3(7√5-5√7)35 + 3(3√7-7)/21

= ³⁵⁾3 - √3 + ⁷⁾(5√3 - 3√5)/5 + (21√5-15√7)/35 + ⁵⁾(3√7-7)/7

= (105 - 35√3 + 35√3 - 21√5 + 21√5 - 15√7 + 15√7 - 35)/35

= (105 - 35)/35

= 70/35

= 2