Radical Equation Calculator
Solve equations containing radicals (square roots, cube roots, nth roots).
Enter Radical Equation
a · √[n](x + b) + c = 0
Equation
1√[2](x + 2) -3 = 0
Solution
Solution
x = 7
Verification
Substituting x = 7.0000 gives approximately 0.0000000000 (≈ 0)
Step-by-Step Solution
Step 1: Original: 1√[2](x + 2) -3 = 0
Step 2: Isolate radical: 1√[2](x + 2) = 3
Step 3: Divide by 1: √[2](x + 2) = 3.0000
Step 4: Raise both sides to power 2: x + 2 = 9.0000
Step 5: Solve for x: x = 7
Solving Radical Equations
Method
- Isolate the radical on one side
- Raise both sides to the power of the index
- Solve the resulting equation
- Check for extraneous solutions
Important Notes
- • Even roots require non-negative radicands
- • Always verify solutions in the original equation
- • Squaring can introduce extraneous solutions