# Find the Geometric Mean 8 , 9 6/5 ,
Convert to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Use the formula to find the geometric mean.
Combine and .
Multiply by .
Rewrite as .
Simplify the numerator.
Rewrite as .
Factor out of .
Rewrite as .
Pull terms out from under the radical.
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
Simplify the numerator.
Combine using the product rule for radicals.
Multiply by .
Approximate the result.
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.
Find the Geometric Mean 8 , 9 6/5

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