Verified answer

2√3z + 2 -1 = 5 I'm guessing about ( )

2√(3z+2) -1=5 add 1 to each side

2√(3z+2)=6 divide both sides by 2

√(3z+2)=3 square both sides

3z+2=9 subtract 2 from each side

3z=7 divide both sides by 3

z=7/3

2√3z = 5 -2 + 1

2√3z = 4

z = 4/(2√3)

z = 2/√3

Again, do you mean "√(3z)" or "(√3) z"? If the variable is under the radical, then just like before: 1) get the radical by itself, 2) square both sides to get rid of the radical, 3) now solve for z.