Solving Radical Equations: Square Roots, Cube Roots, and More

What is the first step in solving the equation √(x - 3) + 6 = 8?

• Square both sides

• Add 6 to both sides

• Subtract 6 from both sides

• Divide both sides by 2

After isolating the square root in the equation √(x - 3) + 6 = 8, what is the next step?

• Subtract 3 from both sides

• Add 3 to both sides

• Take the cube root of both sides

• Square both sides

In the equation 5∛(x + 2) - 4 = 6, what should you do after adding 4 to both sides?

• Subtract 2 from both sides

• Square both sides

• Divide both sides by 5

• Multiply both sides by 5

What is the result of raising both sides of the equation ∛(x + 2) = 2 to the third power?

• x + 2 = 4

• x + 2 = 8

• x + 2 = 16

• x + 2 = 2

In the equation 3(2x - 4)^(2/3) + 5 = 17, what is the first step to isolate the term with the exponent?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the reciprocal of the exponent 2/3 in the equation 3(2x - 4)^(2/3) = 12?

• 3

• 3/2

• 2/3

• 1/2

When solving the equation √(x + 1) = 2x - 13, what should you do after squaring both sides?

• Factor the equation

• Add 13 to both sides

• Subtract x from both sides

• Combine like terms

In the equation √(x + 5) = 5 - √x, what is the first step to solve it?

• Square both sides

• Subtract √x from both sides

• Combine like terms

• Add √x to both sides

What is the next step after isolating the radical in the equation √(x + 8) / √x = 6?

• Multiply both sides by √x

• Subtract 8 from both sides

• Square both sides

• Add 8 to both sides

After multiplying both sides by √x in the equation √(x + 8) / √x = 6, what is the next step?

• Square both sides

• Subtract 8 from both sides

• Add 8 to both sides

• Combine like terms