How do you find the geometric mean for the pair of numbers: -18, -36?

Question

2948 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-09T15:15:54

Geometric mean of $- 18$ $-18$ and $- 36$ $-36$ is $25.4556$ $25.4556$

Geometric mean of $n$ $n$ numbers is calculated by multiplying all the numbers and then taking $n^{t h}$ $n^(th)$ root of the product.

In other words, if numbers are ${a_1,a_2,a_3,a_4,.......,a_n}$ is

$root(n)(a_1xxa_2xxa_3xxa_4xx.......xxa_n)$

For two numbers it would be $sqrt(a_1xxa_2)$

As numbers are $-18$ and $-36$

Geometric mean is $sqrt((-18)xx(-36))$

= $sqrt(18xx18xx2)=18sqrt2=18xx1.4142=25.4556$