Solving using the square root method with fractions

The video tutorial demonstrates solving an equation using the square root method. It begins by isolating the variable through addition, then applies the square root to both sides of the equation. The instructor emphasizes the importance of considering both positive and negative roots. The solution is evaluated by breaking down the square root into simpler components. The lesson concludes with a brief interruption.

What is the first step in solving the equation X^2 - 1/4 using the square root method?

• Divide both sides by 2

• Multiply both sides by 2

• Add 1/4 to both sides

• Subtract 1/4 from both sides

Which property of equality is used to isolate the variable in the equation X^2 - 1/4?

• Subtraction property of equality

• Addition property of equality

• Division property of equality

• Multiplication property of equality

Why is it important to consider both positive and negative roots when taking the square root of both sides of an equation?

• Because it ensures all possible solutions are considered

• Because it makes the equation easier to solve

• Because it simplifies the equation

• Because it eliminates the variable

How can the square root of 1/4 be broken down for easier evaluation?

• As sqrt(1) / sqrt(4)

• As sqrt(2) / sqrt(2)

• As sqrt(1) * sqrt(4)

• As sqrt(4) / sqrt(1)

What is the result of evaluating the square root of 1/4?

• 2

• 1/4

• 1

• 1/2