Use Geometric Mean to solve for the value of x. Leave your answer in SIMPLIFIED radical form.

Using the geometric mean we can estimate the x value as:
[tex]\begin{gathered} x^2=20^2+20*15 \\ x^2=700 \\ x=\sqrt{700}=\sqrt{100*7}=\sqrt{10^2*7}=10\sqrt{7} \end{gathered}[/tex]The answer is:
[tex]x=10\sqrt{7}[/tex]