Question

Aratati ca urmatoarele numere sunt patrate ale unor numere naturale a)5^46 b)23^100 c)(7^6)5 d)25^37 e)4^75 f)625^7 g)16 • 25 h)2^18 • 3^6 i)25•3^18 urgent dau coroana!!!!!

Answer 1

Răspuns:

Explicație pas cu pas:

a)5^46 = (5^23)^2 patrat perfect

b)23^100 = (23^50)^2 patrat perfect

c)(7^6)^5 = 7^30 = (7^15)^2 patrat perfect

d)25^37 = (5^2)^37 = (5^37)^2 patrat perfect

e)4^75 = (2^2)^75 = (2^75)^2 patrat perfect

f)625^7 = (25^2)^7 = (25^7)^2 patrat perfect

g)16 • 25 = (4^2•5^2) = (4•5)^2 = 20^2 patrat perfect

h)2^18 • 3^6  = (2^3)^6 • 3^6 = 8^6•3^6 = (8•3)^6 = 24^6 = (24^3)^2 patrat perfect

i)25•3^18 = 5^2•(3^9)^2 = (5•3^9)^2 patrat perfect