Solving Radical Equations with the Cube Root, the Easy Way

The video tutorial explains how to solve an equation involving a cube root. The instructor guides through isolating the radical, performing operations to solve for x, and verifying the solution by plugging it back into the original equation. The process involves subtracting, dividing, cubing, and adding to isolate and solve for the variable.

What is the first step in isolating the radical in the given equation?

• Divide both sides by 4

• Add 1 to both sides

• Multiply both sides by 4

• Subtract 1 from both sides

After isolating the radical, what operation is performed next?

• Add 7 to both sides

• Cube both sides

• Subtract 7 from both sides

• Square both sides

What is the value of x after solving the equation?

• 15

• 2

• 8

• 7

How is the solution verified in the original equation?

• All of the above

• By checking if 2 times 4 equals 8

• By checking if the cube root of 8 equals 2

• By checking if 15 minus 7 equals 8

What is the final check to ensure the solution is correct?

• Check if x equals 7

• None of the above

• Verify the original equation holds true

• Recalculate the cube root