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 √(192)=x\implies √(8^2\cdot 3)=x\implies 8√(3)=x`