Radical Equation

Algebra 2 Tutorial

Radical Equation


There are many kinds of equations out there in math. One of them is the radical equation. The radical is this, √, but this is actually a square root, but I will explain. Each of these equations has the same basic concept of trying to isolate the variable to try to make it equal. In this sample problem, I will make both sides equal.

Sample Problem

Solve algebraically for x:

                         √3x+4  +3=28


1. Subtract 3 from both sides.

       √3x+4   +3=6
               -3 -3
         √3x+4 = 3

2. Square on both sides.


3. Subtract 4 from both sides.

            -4 -4

4. Divide 3 from both sides.


5. Substitute x for 5/3.

          √3(5/3)+4  +3=6

6. Solve out the equation to make both sides equal to 6.

            √3(5/3)+4 +3=6
            √15/3+4  +3=6
             √5+4    +3=6
              √9     +3=6

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Hello. I am Kisung Yoon, and I am a senior in high school. I am currently in the ARISTA Honor Society, and I have tutored my fellow students from my school in Algebra I, Algebra 2, Global History, US History, and Biology. Not only that, I also tutored my younger sisters on the standardized tests mai...
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