How do We Solve Radical Equation by Using Inverse Operations

The video tutorial covers solving radical expressions and expressions with rational roots. It emphasizes the use of inverse operations to solve equations, providing examples such as solving X + 8 = 7 and X^2 = 4. The tutorial explains the process of squaring both sides to solve sqrt X = 8, resulting in X = 64. It highlights the importance of verifying solutions by substituting back into the original equation to ensure correctness.

What is the first step in solving a radical expression like sqrt X = 8?

• Subtract 8 from both sides

• Add 8 to both sides

• Take the square root of both sides

• Square both sides

Which operation would you use to solve the equation X + 8 = 7?

• Divide both sides by 8

• Multiply both sides by 8

• Subtract 8 from both sides

• Add 8 to both sides

If you have X^2 = 4, what is the correct way to solve for X?

• Add 2 to both sides

• Subtract 2 from both sides

• Take the square root of both sides

• Square both sides

After solving a radical expression, why is it important to check your solution?

• To simplify the expression further

• To ensure the solution is positive

• To verify the solution is correct

• To find alternative solutions

What is the solution to the equation sqrt X = 8 after applying inverse operations?

• X = 64

• X = 32

• X = 16

• X = 8