12 , 79

Use the formula to find the geometric mean.

12⋅79

Multiply 12 and 79.

72⋅9

Multiply 2 by 9.

718

Rewrite 718 as 718.

718

Rewrite 18 as 32⋅2.

Factor 9 out of 18.

79(2)

Rewrite 9 as 32.

732⋅2

732⋅2

Pull terms out from under the radical.

732

732

Multiply 732 by 22.

732⋅22

Multiply 732 and 22.

72322

Move 2.

723(22)

Raise 2 to the power of 1.

723(212)

Raise 2 to the power of 1.

723(2121)

Use the power rule aman=am+n to combine exponents.

72321+1

Add 1 and 1.

72322

Rewrite 22 as 2.

Use axn=axn to rewrite 2 as 212.

723(212)2

Apply the power rule and multiply exponents, (am)n=amn.

723⋅212⋅2

Combine 12 and 2.

723⋅222

Cancel the common factor of 2.

Cancel the common factor.

723⋅222

Divide 1 by 1.

723⋅21

723⋅21

Evaluate the exponent.

723⋅2

723⋅2

723⋅2

Combine using the product rule for radicals.

7⋅23⋅2

Multiply 7 by 2.

143⋅2

143⋅2

Multiply 3 by 2.

146

Approximate the result.

0.62360956

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.

0.6

Find the Geometric Mean 1/2 , 7/9