How Do We Solve Radical Equations ?

Lets use the example :
The first step in solving radical equations is making sure the radical is by itself.

Let's take √x-7 + 5 = 6 , you would have to subtract 5 from each side to get the radical by itself. 
The next step is to square each side of the equation. Do not square terms. 

   Here is an example : 

               CORECT : √x-7^2 =1^2
        
                              x-7 =1
The next step is to solve the equation by solving for X. You can do that by getting X alone. In this case it would look like : 

                                     x-7 =  1
                           +7    +7
                              x = 8
The last and final step is to plug the value of X back into the equation to see if it works.


                          √ 8-7 + 5 = 6 ----------> 8-7 is 1

                   √1+ 5  = 6  -----> The square root of 1 is 1.

                           6 = 6  ----------> 1+5 =6

                    The solution X = 8 is true . 



Now try it yourself  :


                             √x-3 = 5