Find the geometric mean between 7 and 21
I do not have a clue where to start the equation given was
extreme/extreme=mean/extreme
so (mean)(mean)=(extreme)(extreme)
help please
let the geometric mean be x
then x/7 = 21/x
x^2 = 147
x = ± √147
To find the geometric mean between two numbers, you can use the formula:
Geometric Mean = √(Number1 * Number2)
In this case, Number1 is 7 and Number2 is 21.
So, the equation becomes:
Geometric Mean = √(7 * 21)
To solve this, you can use a scientific calculator or simplify the expression:
Geometric Mean = √(147)
The square root of 147 is approximately 12.124.
Therefore, the geometric mean between 7 and 21 is approximately 12.124.
If you don't have a calculator, you can also find the geometric mean using logarithms:
1. Take the logarithm of both numbers: log(7) and log(21).
2. Add the logarithms together: log(7) + log(21).
3. Divide the sum by 2: (log(7) + log(21))/2.
4. Find the antilog of the result: 10^((log(7) + log(21))/2).
By using logarithms, you can find the approximate geometric mean without a calculator.