Question

calc m arit si m geom a)1/2 si 8 b)0,25 si 0,(1) c)3radical din 2 si 2 radical din 10 d)3-2rad din 2 si 3+2rad din 2​

Answer 1

a) 1/2 si 8

M.a.= (1/2+8)/2 = (1/2 + 16/2)/2 = (17/2)/2 = 17/4

M.g.= rad (1/2 × 8) = rad 4 = 2

b) 0,25 si 0,(1)

0,25 = 25/100 = 1/4

0,(1) = 1/9

M.a. = (1/4 + 1/9)/2 = (9/36 + 4/36)/2 = (13/36)/2 = 13/72

M.g.= rad(1/4 × 1/9) = rad (1/36) = 1/6

c) 3 rad 2 si 2 rad 10

M.a. = (3 rad2 + 2 rad 10)/2 = 3/2 × rad 2 + rad 10

M.g. = rad (3 rad2 × 2 rad 10) = rad (6 rad 20) = rad (12 rad 5) = 2 rad (3 rad 5)

d) 3 - 2 rad 2 si 3 + 2rad 2

M.a.= (3 - 2 rad 2 + 3 + 2 rad 2)/2 = 6/2 = 3

M.g. = rad (3 - 2 rad2)(3 + 2 rad 2) = rad (9 - 2×4) = rad 1 = 1