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:
`√(78)` and
`15`

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

`√(6*13)`

`√(78)`

Geometric mean is
`√(78)`

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

Second number is
`=45`

Geometric mean of both numbers is

`√(5*45)`

`√(225)`

`15`

Geometric mean is
`15`