Question 1016073
.
{{{sqrt(2r-6)}}} = {{{sqrt(3+r)}}}.


Square both side. You will get


2r - 6 = 3 + r.


Simplify:


r = 3 + 6 = 9.


Check the solution: 


Left side: {{{sqrt(2r-6)}}} = {{{sqrt(2*9-6)}}} = {{{sqrt(12)}}}.

Right side: {{{sqrt(3+r)}}} = {{{sqrt(3+9)}}} = {{{sqrt(12)}}}.


<U>Answer</U>. r = 9.