What Is The Geomethric Mean Between -6 And -24?

What is the geomethric mean between -6 and -24?

 

ANSWER : 12

STEP BY STEP EXPLANATION :

\displaystyle\left(\prod_{i=0}^{n}a_{i}\right)^{\frac{1}{n}}=\sqrtn{A1\times~A2...An} \\\\\\ \mathsf{=\sqrt2{(-6)\times(-24)}} \\\\\\ \mathsf{=\sqrt2{144}} \\\\\\ \mathsf{=\boxed{12}}

Therefore , the geometric mean is 12.

OK.


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