Question

What is the geometric mean between 6 and 8? Write your answer in simplified radical form

Answer 1

4
`√(3)`

Explanation:

the geometric mean of 2 numbers a and b is
`√(ab)`

the geometric mean of 6 and 8 is then

`√(6(8))`

=
`√(48)` ← express as factors

=
`√(16(3))`

=
`√(16)` ×
`√(3)`

= 4
`√(3)`