Question

What is the geometric mean of
9 and 12
16 and 25
7 and 11

Answer 1

Explanation:

9 and 12 GM=
`√(9*12)`=10.39

16 and 25 gm=
`√(16*25)`=
`√(400)`=20

7 and 11 GM=
`√(7*11)`=8.77

Answer 2

6sqrt(3)

20

sqrt(77)

Explanation:

x is the geometric mean of a and b if the following equation is true.

a/x = x/b

9 and 12

9/x = x/12

x^2 = 9 * 12

x^2 = 108

x = sqrt(108)

x = 6sqrt(3)

16 and 26

16/x = x/25

x^2 = 16 * 25

x^2 = 400

x = 20

7 and 11

7/x = x/11

x^2 = 7 * 11

x = sqrt(77)