Square and Cube Root Equations Worksheet

Square and Cube Root Equations

Read each question carefully and solve for the unknown variable. Show all your work.

Solve each square root equation. Remember to check for extraneous solutions.

1. √(x) = 7

2. √(x - 3) = 5

3. 2√(x + 1) = 8

Solve each cube root equation.

1. ³√(x) = 4

2. ³√(x + 2) = 3

3. 5³√(x - 1) = 10

Choose the correct answer for each question.

1. What is the solution to √(x - 1) = 4?

2. Which of the following is an extraneous solution for √(x + 6) = x?

Determine if each statement is True or False.

1. The equation √(x) = -5 has no real solution.

2. The cube root of a negative number is always negative.