Solving Square Root Equations

Jimmy Chang explains how to solve square root equations, emphasizing the importance of isolating the square root and ensuring the other side of the equation is positive. He provides a step-by-step example, demonstrating how to square both sides to eliminate the square root and solve for x. The tutorial concludes with a verification of the solution.

What is the first thing to ensure when solving a square root equation?

• The equation is linear.

• The variable is on the left side.

• The equation is quadratic.

• The square root is isolated.

Why must the number on the other side of a square root equation be positive?

• Because it makes the equation linear.

• Because it simplifies the equation.

• Because a positive square root must equal a positive number.

• Because negative numbers are not allowed in equations.

What should you do if the square root is not isolated in the equation?

• Add a constant to both sides.

• Multiply both sides by the square root.

• Divide both sides by the square root.

• Isolate the square root by moving other terms.

What is the first step in solving the example square root equation?

• Ensure the square root is isolated.

• Multiply both sides by 5.

• Subtract 5 from both sides.

• Add 3 to both sides.

What operation is used to eliminate the square root in an equation?

• Division

• Squaring

• Subtraction

• Addition

What happens when you square both sides of a square root equation?

• The equation becomes linear.

• The square root and square cancel each other out.

• The equation becomes quadratic.

• The variable is eliminated.

What is the result of squaring the number 5 in the example equation?

• 15

• 25

• 20

• 10

What is the purpose of squaring both sides of the equation?

• To isolate the variable.

• To simplify the equation.

• To make the equation quadratic.

• To eliminate the square root.

What is the square of 5 in the example equation?

• 20

• 15

• 25

• 30

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

• Add or subtract to isolate the variable.

• Divide both sides by the square root.

• Multiply both sides by the variable.

• Factor the equation.