Find the Geometric Mean 1/2 , 7/9

Math
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
Simplify the denominator.
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Rewrite 18 as 32⋅2.
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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
Combine and simplify the denominator.
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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.
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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.
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Cancel the common factor.
723⋅222
Divide 1 by 1.
723⋅21
723⋅21
Evaluate the exponent.
723⋅2
723⋅2
723⋅2
Simplify the numerator.
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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

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