Square and Cube Root Equations Worksheet
Practice solving square and cube root equations with this comprehensive worksheet for 8th graders.
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Square and Cube Root Equations
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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?
x = 15
x = 16
x = 17
x = 18
2. Which of the following is an extraneous solution for √(x + 6) = x?
x = 3
x = -2
x = 0
x = 6
Determine if each statement is True or False.
1. The equation √(x) = -5 has no real solution.
True
False
2. The cube root of a negative number is always negative.
True
False