Tiger Algebra Calculator

Radical equations are equations that involve radicals, such as square roots, cube roots, etc. Solving radical equations involves isolating the radical expression and then squaring (or cubing, etc.) both sides to eliminate the radical.

Basic Steps

To solve radical equations, follow these basic steps:

1. Isolate the radical expression on one side of the equation.

2. Square both sides of the equation to eliminate the radical. If there are multiple radicals, you may need to apply higher powers accordingly.

3. Solve the resulting equation for the variable.

4. Check your solutions by substituting them back into the original equation to ensure they are valid.

Example

Let's solve the radical equation $$\sqrt{x-3}=5$$:

Therefore, the solution to the equation is $$x=28$$.

It's important to be cautious when solving radical equations, as extraneous solutions may arise when squaring both sides of the equation. Always check your solutions to ensure they are valid in the original equation.