Question

What is the geometric mean of 6 and 13?

What is the Geometric mean a 5 and 45?

Answer 1

What is the geometric mean of 6 and 13? 
√(6·13) = √78

What is the Geometric mean a 5 and 45?
√(5·45) = √225 = 15

Answer 2

Answer: $\sqrt{78}$ and $15$

Step-by-step explanation:

Given: (1) two numbers $6$ and $13$.

           (2) two numbers $5$ and $45$.

To Find: Geometric number of numbers in $(1)$ and $(2)$

Solution:

Let first number be $=\text{a}$

Let second number be $=\text{b}$

Geometric mean of two numbers $\text{a}$ and $\text{b}$ is

                                     $\sqrt{\text{a}\text{b}}$

Now,

$(1)$ First number is $=6$

            Second number is $=13$

Geometric mean of both numbers is

      $\sqrt{6\times13}$

      $\sqrt{78}$

Geometric mean is  $\sqrt{78}$

$(2)$ First number is $=5$

            Second number is $=45$

Geometric mean of both numbers is

      $\sqrt{5\times45}$

      $\sqrt{225}$

      $15$

Geometric mean is  $15$