Solving Cube Root Radical Equations

The video tutorial guides viewers through solving an equation involving a cube root. It begins with setting up the problem, followed by isolating the radical and solving the equation step-by-step. The solution is verified by substituting back into the original equation to ensure correctness.

What is the first step in solving equations involving radicals?

• Square both sides of the equation

• Subtract the constant term

• Isolate the radical on one side

• Divide by the coefficient of the radical

After isolating the cube root of x - 7, what value does it equal?

• 1

• 2

• 8

• 4

What operation is performed to eliminate the cube root?

• Multiply by 3

• Square both sides

• Cube both sides

• Divide by 3

What is the value of x in the equation?

• 15

• 8

• 22

• 2

How do you verify that x = 15 is a solution to the equation?

• Substitute x = 15 back into the original equation

• Cube x = 15

• Subtract 15 from both sides

• Divide both sides by 15