Root Calculator

1. Enter the number you want to find the root of. Negative numbers are supported for odd roots (cube root, 5th root, etc.).
2. Enter the root (n). For square root, enter 2. For cube root, enter 3. Or use the quick preset buttons.
3. Read the result. The verification shows the result raised back to the power n, which should equal your original number. The calculator also shows whether your number is a perfect nth power.
4. The table at the bottom shows the square root, cube root, and 4th root all at once for the entered number.

nth root of x = x^(1/n)

Special cases:
  Square root (n=2): √x = x^(1/2)
  Cube root (n=3):   ∛x = x^(1/3)
  4th root (n=4):    ⁴√x = x^(1/4)

Examples:
  √64   = 64^(1/2) = 8    (8² = 64, perfect square)
  ∛64   = 64^(1/3) = 4    (4³ = 64, perfect cube)
  ⁴√64  = 64^(1/4) ≈ 2.828 (not a perfect 4th power)
  ⁴√256 = 256^(1/4) = 4   (4⁴ = 256, perfect 4th power)

Negative numbers:
  Odd roots of negative numbers are real:
    ∛(-27) = -3  ((-3)³ = -27)
  Even roots of negative numbers are not real (in real number system):
    √(-4) is undefined (it is 2i in complex numbers)

Perfect nth power: n is a perfect nth power if the nth root is an integer