Question

what is the geometric mean of 5 and 12

Answer 1

2 sq rt of 15
5x12=60
Sq rt of 60 is 2sqrt of 15

Answer 2

The geometric mean of 5 and 12 is $2\sqrt{15}$.

We need to determine the geometric mean of 5 and 12.

The formulated way to represent the geometric mean of two numbers let say a and b is mentioned below:

$\rm{Geometric\;mean}=\sqrt{ab}$

Now, compare the given values.

Here, a is 5 and b is 12.

Therefore,

$\begin{aligned}\rm{Geometric\;mean}&=\sqrt{5 \times 12}\\&=\sqrt{5 \times 2 \times 2 \times 3}\\&=2\sqrt{5 \times 3}\\&=2\sqrt{15} \end{aligned}$

Thus, the geometric mean of 5 and 12 is $2\sqrt{15}$.

To know more about the GM, please refer to the link:

https://brainly.com/question/8934175