recall: #x^(1/2) = sqrtx#
#color(white)(xxxxxx.xxxxxxxx)x-5 = (3x-11)^(1/2)#
#color(white)(xxxxxxxxxxxxx)(x-5)^2 = sqrt(3x-11)^2" " larr# square
#color(white)(xxxxxxxxx)x^2-10x +25 = 3x -11#
#color(white)(xx)x^2 -10x -3x +25 +11 = 0#
#color(white)(xxxxxxxxx)x^2 -13x +36 =0" "larr# factor
#color(white)(xxxxxxxxx)(x-9)(x-4) = 0#
If # x-9 = 0 " "rarr x = 9#
If #x-4 =0 " "rarr x= 4#