Question

What is the geometric mean of 6 and 15

Answer 1

Answer:

$\large\boxed{3\sqrt{10}\approx(3)(3.16)=9.48}$

Step-by-step explanation:

$\text{The geometric mean formula:}\\\\\sqrt[n]{a_1\cdot a_2\cdot a_3\cdot...\cdot a_n}\\\\\text{We have}\ 6\ \text{and}\ 15.\ \text{Substitute:}\\\\\sqrt{(6)(15)}=\sqrt{90}=\sqrt{(9)(10)}=\sqrt9\cdot\sqrt{10}=3\sqrt{10}\approx(3)(3.16)=9.48$

Answer 2

The the geometric mean is 9.48

we have given the two numbers 6 and 15

What is the formula for geometric?

$\sigma ^2=\sqrt[n]{x_{1}x_{2}......x_{n}}$

we have to find the geometric mean of 6 and 15

$\sigma ^2=\sqrt{(6)(15)}$

$\sigma ^2=\sqrt{(90)}$

$\sigma ^2=\sqrt{(9)}\sqrt{10}$

$\sigma ^2=3\sqrt{(10)}=9.48$

Therefore the the geometric mean is 9.48

To learn more about the geometric mean visit:

https://brainly.com/question/47038