Radical & Rational Equations
Radical Equations
1. Isolate the radical
2. Square both sides (or cube for cube roots)
3. Solve the resulting equation
4. Check for extraneous solutions!
Rational Equations
1. Find the LCD
2. Multiply all terms by LCD
3. Solve the resulting equation
4. Check that solutions don't make any denominator zero!
Exponent Rules
xᵃ · xᵇ = xᵃ⁺ᵇ | xᵃ/xᵇ = xᵃ⁻ᵇ | (xᵃ)ᵇ = xᵃᵇ | x⁻ⁿ = 1/xⁿ | x^(a/b) = ᵇ√(xᵃ)