Question

Find the Geometric mean of 3,6,and 12​

Answer 1

Explanation:

Use the formula to find the geometric mean.

4√3⋅6⋅12⋅243⋅6⋅12⋅244

Multiply 33 by 66.

4√18⋅12⋅2418⋅12⋅244

Multiply 1818 by 1212.

4√216⋅24216⋅244

Multiply 216216 by 2424.

4√5184

Rewrite 51845184 as 64⋅464⋅4.

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4√64⋅464⋅44

Pull terms out from under the radical.

64√4644

Rewrite 44 as 2222.

64√226224

Rewrite 4√22224 as √√2222.

6√√22622

Pull terms out from under the radical, assuming positive real numbers.

6√262

Approximate the result.

8.485281378.48528137

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.

so ans is :

8.58.5

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