SOLUTION: how can I find the Geometric mean between the numbers 3 and 27

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Question 1183355: how can I find the Geometric mean between the numbers 3 and 27
Found 3 solutions by josgarithmetic, ikleyn, MathLover1:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
https://en.wikipedia.org/wiki/Geometric_mean

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.

Geometric mean of two positive real numbers  x  and  y  is the square root of their product


    +----------------------------------------------+
    |    geometric mean of  x, y  is   sqrt%28xy%29.       |
    +----------------------------------------------+


In your case,  it is  sqrt%283%2A27%29 = sqrt%2881%29 = 9.    ANSWER

Solved and explained.

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To learn more on the subject,  look into the lesson
    - WHAT IS Geometric mean
in this site.


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What is important to remember is that the geometric mean is defined for positive real numbers,  ONLY.



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Geometric mean between two numbers a and b+can be given assqrt%28ab%29.
​
Here+a=3+and b=27
Therefore, geometric mean = sqrt%283%2A27%29=sqrt%283%2A3%2A3%5E2%29=sqrt%283%5E2%2A3%5E2%29=3%2A3=9