Solution - Radical equations

Radical Equation entered :

     √v+8 = 6

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

     Radical already isolated
     √v+8 = 6

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√v+8)² = (6)²

     After squaring
     v+8 = 36

Step  3  :

Solve the linear equation :

     Rearranged equation
     v -28 = 0

     Add  28  to both sides
     v = 28

     A possible solution is :
     v = 28

Step  4  :

Check that the solution is correct :

     Original equation
     √v+8 = 6

     Plug in 28 for  v 
      √(28)+8 = 6

      Simplify
      √36 = 6
      Solution checks !!
     Solution is:
      v = 28

One solution was found :