SOLUTION: Please help me find the other extreme of this: ratical 24 is the geometric mean between a and b. Find b if a=2

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Question 68667: Please help me find the other extreme of this: ratical 24 is the geometric mean between a and b. Find b if a=2
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
The Geometric Mean between any two positive numbers a and b is the square root of their product.

If we are looking for positive geometric mean sqrt%28ab%29

If we are looking for negative geometric mean -sqrt+%28ab%29


find the other extreme of this: ratical 24 is the geometric mean between a and b. Find b if a=2
Geometric Mean = sqrt%28ab%29
24+=+sqrt%282b%29

24%5E2+=+sqrt%282b%29%5E2

576+=+2b

highlight+%28b=+288%29


Checking:
Geometric Mean = sqrt%28ab%29, GM = 24, a = 2, b = 288

24+=+sqrt%282%2A288%29

24+=+sqrt%28576%29

24=24 ---> True