Answer:
12.75
Explanation:
The computation of the geometric mean of sqrt 77 and sqrt 343 is given below:
As we know that
Geometric mean =
![√(ab)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ynswxird982jirgh1o3hqx9ttii5w6k9id.png)
where
a is the first number =
![√(77)](https://img.qammunity.org/2022/formulas/mathematics/high-school/uzjnemlj1udeqjcjpr9g0p1fz23q1sbf1q.png)
And, the b is the second number =
![√(343)](https://img.qammunity.org/2022/formulas/mathematics/high-school/yafbsihfh1siro2ogx0ci2p7jm9zkrms76.png)
Now first we have to convert into a number
For a it, is = 8.78
And, for b, it is = 18.52
Now the geometric mean is
![= √(8.78 * 18.52)](https://img.qammunity.org/2022/formulas/mathematics/high-school/nezshk75himab0v52fr77xtgo4b6431e8c.png)
= 12.75