Question

Find the geometric mean of the pair of numbers.

Answer 1

`\large\boxed{2\sqrt7}`

Explanation:

`\text{The geometric mean:}\ \sqrt[n]{a_1\cdot a_2\cdot ...\cdot a_n}\\\\\text{For two numbers}\ a\ \text{and}\ b:\ √(ab)\\\\\text{We have 4 and 7. Substitute:}\\\\√(4\cdot7)\qquad\text{use}\ √(ab)=√(a)\cdot√(b)\\\\=\sqrt4\cdot\sqrt7=2\sqrt7`