Răspuns:
3.
rad322, rad300, rad242, rad320, rad289, rad207
rad207<rad242<rad289<rad300<rad320<rad322
4.
5/4 × 3/20 - 1/3 × 9/10 + 5/18 × 18/10 =
3/16 - 3/10 + 1/2 =
(15-24+40)/80 =
31/80
5.
a) 2^3 × 3^7 × 6^5 = 2^3 × 3^7 × 2^5 × 3^5 = 2^8 × 3^12 pătrat perfect (toate puterile pare sunt pătrate perfecte)
rad(2^8 × 3^12) = 2^4 × 3^6
b) 1+2+3+...+288 = (288×289)/2 = 144 × 289 pătrat perfect =>radical = 12×17 = 204
c) 140×n pătrat perfect
???
d) 5^(2n) × 3^(2n+2) × (5 + 11) =
5^2n ×3^(2n+2) × 2^4 pătrat perfect
