Find the geometric mean of 5 and 125.
\(the\ geometric\ mean= \sqrt{5\cdot125} = \sqrt{625} = \sqrt{25^2}= 25\)
\(geometric \ mean \ of \ two \ numbers \ a \ and \ b \ is :\ \sqrt{a \cdot b} \\ \\a=5 , \ b = 125 \\ \\ \sqrt{5 \cdot 125}=\sqrt{625}=\sqrt{25 \cdot 25}=25\)
