Isolating the Square Root Solve a Square Root Function Using Inverse Operations

The video tutorial explains how to solve equations involving square roots. It begins by introducing the concept of solving equations with square roots, emphasizing the importance of understanding inverse operations. The tutorial then demonstrates the process of isolating the square root and squaring both sides to solve the equation. Finally, it highlights the necessity of checking solutions to ensure they are not extraneous.

What is the inverse operation of taking a square root?

• Squaring

• Subtracting

• Adding

• Dividing

Why is it important to isolate the square root before squaring?

• To make the equation more complex

• To simplify the equation

• To ensure no addition or subtraction affects the square root

• To avoid using equal signs

What is the first step in solving the equation \( \sqrt{2x} + 3 = 8 \)?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 2

• Divide both sides by 2

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

• Divide both sides by the square root

• Square both sides of the equation

• Add the square root to both sides

• Subtract the square root from both sides

Why is it important to check your solution after solving the equation?

• To make the equation more complex

• To ensure the solution is not extraneous

• To avoid using equal signs

• To add more steps to the solution