Solving Equations with Radicals

In this video, the instructor demonstrates how to solve an equation containing a radical. The process involves isolating the radical, squaring both sides to eliminate it, and solving the resulting equation. The solution is verified by substituting it back into the original equation to ensure correctness.

What is the first step in solving an equation with a radical?

• Isolate the radical

• Divide both sides by a number

• Multiply both sides by 2

• Add a constant to both sides

After isolating the radical, what operation is used to eliminate it?

• Multiplying by the reciprocal

• Squaring both sides

• Taking the square root

• Adding a constant

What is the result of squaring the square root of 4 minus W?

• W minus 4

• 16 minus W

• W plus 4

• 4 minus W

What is the value of W after solving the equation 4 - W = 16?

• 12

• -12

• 16

• -16

What should you do after finding the solution to an equation?

• Multiply the solution by 2

• Add 5 to the solution

• Divide the solution by 3

• Check the solution by substituting it back into the original equation

What is the result of substituting W = -12 back into the original equation?

• The result is 0

• The result is 12

• The equation holds true

• The equation does not hold

Why is it important to verify the solution of an equation?

• To simplify the equation further

• To ensure the solution is correct

• To find a different solution

• To change the equation