Answer:
6,8.
Step-by-step explanation:
We will solve the Question in R
let g1 and g2 be the reqd,GMs btwn 2 and 54
2,g1,g2,54 must be GP
[ Definition]
g1 g2 54
— = — = — = r, say
2 g1 g2
g1
— = r > g1 = 2r
2
g2
— = r > g2 = rg1 = r . 2r = 2r²
g1
54
— = r > 54 = rg2 = r . 2r² = 2r³
g2
Now: 2r³ = 54 > r³ = 27 > r = 3
g1 = 2r = 2.3 = 6,g2 = 2.3² = 18
thus,6 and 18 are the repd. (real) GMs
Sana makatulong :)
