The most important thing you need to know to solve radical equations

This video tutorial explains how to solve radical equations by isolating the square root and using inverse operations. It emphasizes understanding the difference between what is inside and outside a function. The tutorial provides a step-by-step approach to solving these equations, including adding or subtracting terms and dividing by coefficients. It also highlights the importance of squaring both sides to eliminate the square root and warns about potential extraneous solutions. The video concludes with a check of the solution and a preview of the next topic.

What is the first step in solving a radical equation?

• Isolate the square root

• Subtract a constant from both sides

• Add a constant to both sides

• Multiply both sides by a constant

When solving a simplified equation, what operation is used to undo multiplication?

• Addition

• Exponentiation

• Subtraction

• Division

What is the inverse operation of taking a square root?

• Dividing by 2

• Multiplying by 2

• Squaring

• Taking a cube root

Why is it important to check for extraneous solutions when solving radical equations?

• To check if the solution is a fraction

• To ensure the solution is within the domain

• To confirm the solution is an integer

• To verify the solution is positive

What should you do after isolating the square root in a radical equation?

• Subtract a constant from both sides

• Multiply both sides by a constant

• Square both sides

• Add a constant to both sides