Respuesta :

Answer:

[tex]2\sqrt{5}[/tex]

Step-by-step explanation:

Geometric mean of two numbers of the square root of their product:

[tex]\sqrt{20}=\sqrt{4\cdot5}=2\sqrt{5}[/tex]

The geometric mean of 5 and 4 is [tex]2\sqrt{5}[/tex].

What is the geometric mean of two numbers?

The Geometric mean of the two numbers formula is defined as the square root of the product of 2 numbers.

The following formula is used to calculate the geometric mean;

[tex]\rm Geometric \ mean = \sqrt{a \times b}[/tex]

Where a is the first term and b is the second term.

Therefore,

The geometric mean of 5 and 4 is;

[tex]\rm Geometric \ mean = \sqrt{a \times b}\\\\a=5 \ and \ b=4\\\\\rm Geometric \ mean = \sqrt{5 \times 4}\\\\\rm Geometric \ mean = \sqrt{20}\\\\\rm Geometric \ mean = 2\sqrt{5}[/tex]

Hence, the geometric mean of 5 and 4 is [tex]2\sqrt{5}[/tex].

To know more about the Geometric mean click the link given below.

https://brainly.com/question/23483761