Find the geometric mean between 8 and 25?

3 Answers

Mark Mottian Profile
Mark Mottian answered
There are two methods on how to work out such a problem:  Method 1  1. Multiply the two numbers (8 * 25 = 200). 2.Calculate the square root of this number (√200 = 14.14213562)  Method 2  The geometric mean can be solved, algebraically speaking, by using the following equation:  First #/x = x/Second #  8/x = x/25 (plug in the values)  x^2 = 200 (Cross multiply: X * x = x^2 and 8 * 25 = 200)  √x^2 = √200 (eliminate the exponent)  x = 14.14213562  ______  Final Answer:The geometric mean of 8 and 25 is 14.14213562
Oddman Profile
Oddman answered
The geometric mean of N numbers is the Nth root of their product. For two numbers, that is the square root of their product.
  √(8*25) = √200 = 10√2 ≈ 14.142136

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