Răspuns :
= 9 √100 ·√2 : 3√10 = 9 ·10 ·√2 : 3 √10 = ( 90 :3) · ( √2 :√10 ) =
= 30 · ( √2 :√2 :√5) = 30 · 1 / √5 = 30 ·√5 / √5√5 = 30 √5 / 5 = 6√5
= 30 · ( √2 :√2 :√5) = 30 · 1 / √5 = 30 ·√5 / √5√5 = 30 √5 / 5 = 6√5
[tex]9 \sqrt{200} :3 \sqrt{10} =3 \sqrt{20} =3 \cdot 2 \sqrt{5} =6 \sqrt{5} [/tex]