Question

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

Answer 1

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