How do we solve radical equations?

Aim: How do we solve radical equations?

To solve radical equation, you first set the radical alone and then square both sides of the equation to get rid of the radical sign. After you get rid of the radical, you can solve it like a regular equation and solve for x. After you get the solutions, you check by plugging it into the original equation to see if the solutions make the equation true. 

For example,

√x-7+5=6

First, subtract 5 from both sides to set the radical alone.

√x-7+5=6

        -5  -5

   √x-7=1

Then, square both sides to get rid of the radical sign.

√x-7^2=1^2

*Squaring gets rid of  the radical sign

x-7=1

Now, add 7 to both sides and solve it like a regular equation.

x-7=1

  +7 +7

 x=8

Then, check by plugging it in the original equation.

√(8)-7+5=6

√1+5=6                    TRUE

1+5=6

6=6

Finally, x=8