OceanCalc

Root Calculator

Calculate square roots, cube roots, and nth roots.

Enter Values

The number under the root sign

2 for square root, 3 for cube root, etc.

Root Concepts

Definition:

ⁿ√x = x^(1/n)

The nth root of x is the number that when raised to power n equals x

Common Roots:

  • √ (square root) - index 2
  • ∛ (cube root) - index 3
  • ∜ (fourth root) - index 4

Properties:

  • Even roots of negative numbers are not real
  • Odd roots of negative numbers are negative
  • ⁿ√(a × b) = ⁿ√a × ⁿ√b

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Root Result
3th root of 27
3√273
√27 (square root)5.1962
³√27 (cube root)3
⁴√27 (4th root)2.2795
Verification3^3 = 27