Solving Square Root Equations
Practice solving square root equations with various levels of complexity. This worksheet covers isolating the radical, squaring both sides, and checking for extraneous solutions.
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Solving Square Root Equations
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Solve each square root equation. Remember to check your solutions for extraneous roots.
1. √(x + 5) = 3
2. 2√(x - 1) = 8
3. To eliminate a square root, you must both sides of the equation.
4. An solution is a solution that arises from the process of solving an equation but is not a valid solution of the original equation.
5. Which of the following is the correct first step to solve √(2x - 3) = 5?
Subtract 3 from both sides
Add 3 to both sides
Square both sides
Divide by 2
6. Solve for x: √(3x + 1) = x - 1
7. Find all solutions for: √(x - 2) + 4 = x
8. When solving √(x) = -2, the solution is x = 4.
True
False