# Geometric mean of $$$8$$$, $$$16$$$

Related calculators: Average Calculator, Harmonic Mean Calculator

### Your Input

**Find the geometric mean of $$$8$$$, $$$16$$$.**

### Solution

The geometric mean of data is given by the formula $$$\left(\prod_{i=1}^{n} x_{i}\right)^{\frac{1}{n}}$$$, where $$$n$$$ is the number of values and $$$x_i, i=\overline{1..n}$$$ are the values themselves.

Since we have $$$2$$$ points, $$$n = 2$$$.

The product of the values is $$$\left(8\right)\cdot \left(16\right) = 128$$$.

Therefore, the geometric mean is $$$\sqrt{128} = 8 \sqrt{2}$$$.

### Answer

**The geometric mean is $$$8 \sqrt{2}\approx 11.31370849898476$$$A.**