Falling_In_Katt
  • Falling_In_Katt
The geometric mean of 8 and 2 is 4. True or False
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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mathmate
  • mathmate
hint: geometric mean of x1 and x2 is equal to \(\sqrt{x1\times x2}\) So you can verify what the geometric mean of 2 and 8 should be.
mathstudent55
  • mathstudent55
x is the geometric mean of a and b if a is to x as x is to b, or \(\dfrac{a}{x} = \dfrac{x}{b} \) Then when you take the cross products and set them equal, you get: \(x^2 = ab\) Solving for x, you get: \(x = \sqrt{ab} \)
mathstudent55
  • mathstudent55
In your problem, use 8 and 2 as a and b, and solve for x.

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Falling_In_Katt
  • Falling_In_Katt
True?
mathstudent55
  • mathstudent55
yes

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