Learn How to Solve a Radical Equation by Isolating Radical to Take Power of Both Sides

The video tutorial explains how to solve equations involving square roots and rational powers. It emphasizes the importance of isolating the variable before applying inverse operations. The process involves subtracting any added numbers to isolate the square root or power, then applying the inverse operation to solve the equation. The tutorial concludes with verifying the solution by substituting it back into the original equation.

What is the first step when solving equations involving square roots or rational powers?

• Multiply both sides by a constant

• Add a constant to both sides

• Isolate the square root or power

• Apply the inverse operation immediately

When isolating a square root, what operation should be performed if a number is added to it?

• Multiply both sides by the number

• Add the same number to both sides

• Subtract the number from both sides

• Divide both sides by the number

What is a common mistake students make when solving square root equations?

• Forgetting to isolate the square root

• Adding instead of subtracting

• Multiplying instead of dividing

• Applying the inverse operation too early

After isolating the square root, what is the next step in solving the equation?

• Subtract a constant from both sides

• Divide both sides by a constant

• Square both sides of the equation

• Add a constant to both sides

Why is it important to substitute the solution back into the original equation?

• To eliminate any constants

• To simplify the equation further

• To find a different solution

• To verify the solution is correct