Find the geometric mean between 4 and 6. (Always simplify the radical completely.)

Use the formula to find the geometric mean.

√

4

⋅

6

Multiply

4

by

6

.

√

24

Rewrite

24

as

2

2

⋅

6

.

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√

2

2

⋅

6

Pull terms out from under the radical.

2

√

6

Approximate the result.

4.89897948

The geometric mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

4.9