supposed to find the geometric mean of 14 and 6. I got 9.165..., but my teacher said it should be 2√21. How and why would that be?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 3BGP
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I'm supposed to find the geometric mean of 14 and 6. I got 9.165..., but my teacher said it should be 2√21. How and why would that be?
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