Root Calculator

Calculate square roots, cube roots, and general nth roots with step-by-step verification and mathematical properties.

Calculate square roots, cube roots, and general nth roots with step-by-step verification.

About Root Calculations

Root calculations find the number that, when raised to a specific power, equals the given number.

Key Properties

  • • √x = x^(1/2)
  • • ³√x = x^(1/3)
  • • n√x = x^(1/n)

Rules

  • • √(a × b) = √a × √b
  • • √(a/b) = √a / √b
  • • (√a)² = a

Notes

  • • Even roots of negatives are not real
  • • Odd roots of negatives are real

Square Root Calculator

Cube Root Calculator

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General Root Calculator