## Algebra 2 Tutorial

*Radical Equation*

#### Intro

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

#### Solution

1. Subtract 3 from both sides.

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

2. Square on both sides.

(√3x+4)^2=(3)^2 3x+4=9

3. Subtract 4 from both sides.

3x+4=9 -4 -4 _____________ 3x=5

4. Divide 3 from both sides.

3x/3=5/3 x=5/3

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 3+3=6 6=6

# About The Author

Math, Biology, And History Instructor |

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... |