The geometric mean of two numbers is required.
The geometric mean of the given numbers is a. [tex]5\sqrt{2}[/tex]
The two numbers are [tex]2[/tex] and [tex]25[/tex]
The geometric mean is given by
[tex]\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}[/tex]
So,
[tex]\sqrt{2\times 25}\\ =\sqrt{2}\sqrt{25}\\ =5\sqrt{2}[/tex]
So, the geometric mean of the given numbers is a. [tex]5\sqrt{2}[/tex]
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