Solving missing variable
√
3
√
2x+3
=
√
5x-6
sqrt(3) * sqrt(2x+3)=sqrt(5x-6)
square roots are to the 1/2 power so what you can do is square both sides 2*(1/2)= 1 so the square roots cancel. It will look like this
(sqrt(3)*sqrt(2x+3))^2=(sqrt(5x-6))^2
which will cancel out all the square roots. It will end up as 3*(2x+3)=5x-6. Then solve for x.