Question

am nevoie la ex 4, dau coroana​

Answer 1

Răspuns:

a)

36|2

18|2

9|3

3|3

1

=> 36 = 2^2 • 3^2 => rad36 = 2•3 = 6

b)

64|2

32|2

16|2

8|2

4|2

2|2

1

=> 64 = 2^6 => rad64 = 2^3 = 8

c)

1 = 1^100 (am dat un exemplu, 1 la orice putere este tot 1) => rad1 = 1

d)

169|13

13|13

1

=> 169 = 13^2 => rad169 = 13

e)

324|2

162|2

81|3

27|3

9|3

3|3

1

=> 324 = 2^2 • 3^4 => rad324 = 2•3^2 = 18

f)

529|23

23|23

1

=> 529 = 23^2 => rad529 = 23

g)

2^8 • 81 = 2^8 • 3^4 => rad(2^8 • 81) = 2^4 • 3^2 = 144

h)

49•64•5^2 = 7^2 • 8^2 • 5^2 => rad(49•64•5^2) = 7•8•5 = 280

i)

4^3 • 5^6 = (2^2)^3 • 5^6 = 2^6 • 5^6 = 10^6 => rad(4^3 • 5^6) = 10^3 = 1000

j)

16^3 • (-5)^4 = (2^4)^3 • 625 = 2^12 • 5^4 => rad[16^3 • (-5)^4] = 2^6 • 5^2 = 1600

k)

121 • 169^3 = 11^2 • (13^2)^3 = 11^2 • 13^6 => rad(121 • 169^3) = 11•13^3 = 24167