Question

What is the geometric mean of 5 and 10​?

Answer 1

Answer:

7.071

Step-by-step 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.

$=5*10=50\\\\\\\\\sqrt{50} =7.071$

Answer 2

Answer:

5$\sqrt{2}$

Step-by-step explanation:

The geometric mean of 2 numbers a and b is

$\sqrt{ab}$

Hence

The geometric mean of 5 and 10 is

$\sqrt{5(10)}$

= $\sqrt{50}$

= $\sqrt{25(2)}$ = $\sqrt{25}$ × $\sqrt{2}$ = 5$\sqrt{2}$