document.write( "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 \n" ); document.write( "
Algebra.Com's Answer #48919 by rmromero(383)\"\" \"About 
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.
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If we are looking for positive geometric mean \"sqrt%28ab%29\"
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If we are looking for negative geometric mean \"-sqrt+%28ab%29\"\r
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find the other extreme of this: ratical 24 is the geometric mean between a and b. Find b if a=2
\n" ); document.write( "Geometric Mean = \"sqrt%28ab%29\"
\n" ); document.write( "\"24+=+sqrt%282b%29\"
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\"24%5E2+=+sqrt%282b%29%5E2\"
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\"576+=+2b\"
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\"highlight+%28b=+288%29\"
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\n" ); document.write( "Checking:
\n" ); document.write( "Geometric Mean = \"sqrt%28ab%29\", GM = 24, a = 2, b = 288

\n" ); document.write( "\"24+=+sqrt%282%2A288%29\"
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\"24+=+sqrt%28576%29\"
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24=24 ---> True\r
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