Question

What is the geometric mean of 5 and 14

Answer 1

`\: \huge \mathfrak{ \underbrace{\overbrace{ \pink{A}{\blue{n}}{\green{s}}{ \purple{w}{ \orange{e}{ \red{r}}}}}}} \\ \\ \rightarrow{\bf{\sf{8.366}}}`

`\: \large \tt \underline{\green{Solution}}` :

Given : Numbers = 5 , 14

N = 2

• Formula for Geometric Mean

`\sf Geometric \: Mean \: = ( x_(1) * x_(2) * x_(3)........ x_(n)) {}^{ (1)/(n) } \\ \\ = ( 5 * 14) {}^{ (1)/(2) } \\ \\ = (70) {}^{ (1)/(2) } \\ \\ or \: (70) {}^(0.5) \\ \\ \rightarrow\fbox{ \blue{8.366}}`