Question

Find the geometric mean of 4 and 12

Answer 1

`\large\boxed{4\sqrt3}`

Explanation:

`\text{A geometric mean of}\ a\ \text{and}\ b:\\\\√(ab)\\\\\text{We have}\ a=4,\ b=12.\\\\\text{Substitute:}\\\\√(4\cdot12)=√(48)=√(16\cdot3)\qquad\text{use}\ √(ab)=√(a)\cdot√(b)\\\\=√(16)\cdot\sqrt3=4\sqrt3`