Learn How to Solve Radical Equations and Check Your Answer

The video tutorial explains how to solve equations involving square roots. It emphasizes the importance of isolating the square root before solving. The process involves subtracting constants and squaring both sides to eliminate the square root. The solution is verified by substituting it back into the original equation to ensure it works. The tutorial concludes with a reminder to always check solutions, as some may not be valid.

What is the first step in solving an equation involving a square root?

• Add a constant to both sides

• Divide both sides by the square root

• Isolate the square root

• Multiply both sides by 2

After isolating the square root, what should you do next to solve the equation?

• Take the square root of both sides

• Add 5 to both sides

• Square both sides

• Subtract 2 from both sides

What is the result of squaring both sides of the equation X + 5 = 2?

• X + 5 = 9

• X + 5 = 0

• X + 5 = 1

• X + 5 = 4

Why is it important to verify your solution after solving a square root equation?

• To ensure the solution is positive

• To simplify the equation further

• To find additional solutions

• To check if the solution satisfies the original equation

If the solution to the equation is X = -1, what should you do to confirm its validity?

• Add 1 to both sides

• Multiply the solution by 2

• Plug the solution back into the original equation

• Subtract 1 from both sides