The cube root of 29 is cbrt29. In decimal, cbrt(29) is approximately 3.072317 (irrational — the decimal never ends or repeats). This page shows the exact value, simplified radical form, decimal to 20 decimal places, step-by-step working, and a 3D cube visualisation....
CUBE ROOT OF 29
∛29
≈ 3.0723168257
Irrational — decimal never ends or repeats
Exact form
∛29
Decimal (6dp)
3.072317
Decimal (10dp)
3.0723168257
Is perfect cube?
No
(∛29)³
29 ✓
Between
3 and 4
DECIMAL PRECISION
∛29 ≈ 3.0723168257
STEP-BY-STEP
Prime factorisation: 29 = 29
No perfect cube factor — ∛29 is already in simplest form
3³ = 27 < 29 < 64 = 4³ → ∛29 between 3 and 4
∛29 ≈ 3.0723168257
FUN FACT
cbrt(29) approx 3.07232 is irrational. 29 is prime.
NUMBER LINE (∛29 ≈ 3.0723)
3
4
∛29
CUBE WITH VOLUME = 29
NEARBY PERFECT CUBES
CUBE ROOT LAWS
Find the prime factorisation of 29: 29 = 29. Look for any prime appearing 3+ times.
No factor appears 3+ times, so cbrt(29) cannot be simplified and stays as cbrt(29).
Locate cbrt(29) between integers: 3^3 = 27 < 29 < 64 = 4^3. So cbrt(29) is between 3 and 4.
Decimal: cbrt(29) approximately 3.0723168257. Verify: (3.072317)^3 approximately 29.
cbrt(29): not a perfect cube. Factorisation: 29 = 29. Simplified: cbrt29. Decimal: cbrt(29) approximately 3.0723168257.
Bold bordered = perfect cubes (∛1=1, ∛8=2, ∛27=3)
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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.