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In Mathematics / High School | 2014-05-31

Find the geometric mean of 10 and 18. If the answer is not a whole number, leave it in the simplest radical form.

Asked by sillyosegueda

Answer (2)

The geometric mean of 10 and 18 is calculated as the square root of the product. The product is 180, and the square root simplifies to 6 sqrt(5) in simplest radical form. ;

Answered by JohnRogerStephens | 2024-06-18

The geometric mean of 10 and 18 is 6 5 ​ , calculated as the square root of their product, which is 180. This value is simplified from 180 ​ by factoring and extracting perfect squares. Thus, the final result is in its simplest radical form.
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Answered by JohnRogerStephens | 2024-09-27