![\text{The geometric mean:}\ \sqrt[n]{a_1\cdot a_2\cdot ...\cdot a_n}\\\\\text{For two numbers}\ a\ \text{and}\ b:\ \sqrt{ab}\\\\\text{We have 4 and 7. Substitute:}\\\\\sqrt{4\cdot7}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt7=2\sqrt7](/tpl/images/0177/3485/a40ce.png)
find the geometric mean of the pair of numbers.
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