Question

Aratati ca numerele urmatoare sunt patrate perfecte
a)16•24
b)2^22•3^2
c)2^25•2^33
d)4^15•121^17
e)3^4•4^3
Repede,va rog!!

Answer 1

a) 16 × 64 = (2^4) × (2^6) = 2^10 = (2^5)^2

b) 2^22 × 3^2 = (2^11×3)^2

c) 2^25 × 2^33 = 2^58 = (2^29)^2

d) 4^15 × 121^17 = (2^2)^15 × (11^2)^17 = 2^30 × 11^34 = (2^15 × 11^17)^2

e) 3^4 × 4^3 = 3^4 × (2^2)^3 = 3^4 × 2^6 = (3^2 × 2^3)^2