Radical Equation Examples

TL;DR

Learn how to solve radical equations by isolating the radical and then squaring both sides of the equation.

Transcript

Let's do a few more examples of solving radical equations. Let's say I have the square root of x plus 2 minus 2 is equal to 0. So just like I said in the last video, we always want to isolate the radical. And the best way I can think of doing it over here, is adding 2 to both sides of this equation. So if you add 2 to both sides of this equation, w... Read More

Key Insights

• 🙃 Isolate the radical by performing operations on both sides of the equation.
• 🙃 Squaring both sides of a radical equation eliminates the radical.
• ✅ Validating a solution involves checking if it satisfies the original equation.

Questions & Answers

Q: How do you solve radical equations?

To solve radical equations, isolate the radical and then square both sides of the equation.

Q: What should you do after isolating the radical in an equation?

After isolating the radical, square both sides of the equation to eliminate the radical.

Q: How do you validate a solution in a radical equation?

Substitute the solution back into the original equation and ensure it satisfies the equation.

Q: Can radical equations involve higher power roots?

Yes, radical equations can involve higher power roots, such as the fourth root, which is solved by raising both sides to the fourth power.

Summary & Key Takeaways

• To solve radical equations, isolate the radical by performing operations on both sides of the equation.

• Once the radical is isolated, square both sides of the equation.

• Validate the solution by substituting it back into the original equation to ensure it works.