Question

What is the geometric mean of 5 and 10​?

Answer 1

5
`√(2)`

Explanation:

The geometric mean of 2 numbers a and b is

`√(ab)`

Hence

The geometric mean of 5 and 10 is

`√(5(10))`

=
`√(50)`

=
`√(25(2))` =
`√(25)` ×
`√(2)` = 5
`√(2)`

Answer 2

7.071

Explanation:

To find geometric mean of two numbers given , you multiply numbers then find the square root of the result.

For this question we have the numbers given as 5 and 10. So multiply 5 by 10 then get the square root of the answer.

`=5*10=50\\\\\\\\√(50) =7.071`