Education & Math

Simplify Radicals Calculator

Extract perfect powers and simplify square, cube, or nth roots into their lowest terms.

Radical Expression

Index (Root)
Coefficient
Radicand
Enter the number you want to simplify under the root.

Simplified Result

Exact Form
6
2
Decimal Value
0.000
Extracted Power
36

Original Expression

Before Simplification
1 √72

Calculation Steps

  • Root Type Square Root (2)
  • Perfect Factor 36
  • Remaining Factor 2
Factoring Logic
√(36 × 2) → 6√2
i

Perfect Power: We divide the inside number by the largest perfect $n$th power to pull it outside the root.

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