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Determine the geometric mean of 9 and 9/4. Options: 3/2, 81/4, 3, 9/2.

User GionJh
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Final answer:

The geometric mean of 9 and 9/4 is found by multiplying the two numbers to get 81/4 and then taking the square root of the product, which results in 9/2.

Step-by-step explanation:

The question asks us to determine the geometric mean of the numbers 9 and 9/4. The geometric mean of two numbers is calculated by multiplying them together and then taking the square root of the product. Let's perform the calculation step by step:

  1. Multiply the two numbers: 9 * (9/4) = 81/4.
  2. Take the square root of the product: √(81/4) = √81 / √4 = 9/2.

Therefore, the geometric mean of 9 and 9/4 is 9/2.

User Sarahjane
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