How to Solve Radical Equations

Radical equations are equations with a square root on either of their sides. For example, sqrt(x + 1) + 6 = 9 is a radical equation. The radicals make solving equations with standard digits difficult. Before an equation can be solved, it must be squared on both sides.

Instructions

1. Understand that, to solve sqrt(x + 1) + 6 = 9, you must get the radical alone.

2. 

   Do all the surrounding work first to get the radical alone. In this case, subtract 6 from both sides.

3. 

   Make the radical number a regular number. To do this, square both sides of the equation.

4. 

   Understand that, once you have isolated the radical and squared both sides, you can solve the equation as usual.

5. 

   Plug your "x" into the equation to check your work.

Tips & Warnings

• Remember to square both sides! It is the most frequently forgotten step, and the most important.

• Make up your own radical equations and try to solve them at home. Practice helps a lot.

• Always make sure to check your work. It may help you find any problems in your calculation.

Resources

• NutshellMath Homework Help: Algebra 2: Solving Radical Equations
• Math B — Solving Radical Equations