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What is the geometric mean of 9 and 16

User Laurita
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2 Answers

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To find the geometric mean, write and solve 9/x = x/16 .

Cross multiply the proportion: x² = 144

Square root both sides: x = plus or minus 12


User Gutblender
by
8.0k points
4 votes

Answer:

12

Explanation:

To find the geometric mean of 2 numbers, multiply them together and then take the square root

gm = sqrt(9*16)

sqrt(ab) = sqrt(a) sqrt(b)

= sqrt(9) sqrt(16)

= 3 * 4

gm = 12

User Rhelminen
by
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