Find the geometric mean of 12 and 16. A) 6√7 B) 7√3 C) 8√3 D) 9√6

Matthew Brett asked Dec 11, 2023

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Find the geometric mean of 12 and 16.
A) 6√7
B) 7√3
C) 8√3
D) 9√6

Matthew Brett asked Dec 11, 2023

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27 votes

$\cfrac{12}{x}=\cfrac{x}{16}\implies 192=x^2\implies √(192)=x\implies √(8^2\cdot 3)=x\implies 8√(3)=x$

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