Root Calculator — Free Online Calculator with Step-by-Step Guide
Calculate any nth root — square roots, cube roots, and beyond. Shows both radical form and fractional exponent equivalent with step-by-step verification.
✓ Formula verified: January 2026
Root Calculator
Results below
Enter Values
Result
3
Decimal Form
3
Radical Expression
∛(27)
Fractional Exponent
27^(1/3)
Simplified Radical
▲ 3∛1
What if your root index (n) changes? 2 → 5.1961524227 · 3 → 3 · 4 → 2.279507057
Scenario Comparison
Conservative (5%)
$16,470.09
$6,470.09 interest
Your scenario (7%)
$20,096.61
$10,096.61 interest
Aggressive (10%)
$27,070.41
$17,070.41 interest
High-risk (14%)
$40,224.71
$30,224.71 interest
Best return
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Root Calculation
f(t) = t1/3
Result
∛327 = 3
Fractional Exponent Form
27^(1/3) = 3
Verification
3^3 = 27.000000 ✓
Radical Form
∛327
Exponent Form
271/3
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