What is the cube root of 29?

The cube root of 29 is cbrt29. In decimal: cbrt(29) approximately 3.0723168257 This is irrational. cbrt(29) approx 3.07232 is irrational. 29 is prime.

Is 29 a perfect cube?

No. 29 is not a perfect cube. 3^3 = 27 and 4^3 = 64. Since 29 falls between these, cbrt(29) is not an integer. Nearest perfect cubes: 27 (= 3^3) and 64 (= 4^3).

What is cbrt(29) cubed?

(cbrt(29))^3 = 29. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(29))^3 = 29 always.

How is cube root different from square root?

Square root: sqrt(29) approximately 5.385165. Cube root: cbrt(29) approximately 3.072317. Key differences: - Cube roots exist for negative numbers: cbrt(-8) = -2. Square roots of negatives are imaginary. - Cube roots grow more slowly than square roots. - Perfect cubes are rarer than perfect squares.

What are the perfect cubes from 1 to 30?

Only three: 1 (= 1^3), 8 (= 2^3), and 27 (= 3^3). 29 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 29 — cbrt(29) = cbrt29

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....

∛29 = ?

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?

(∛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)

∛29

CUBE WITH VOLUME = 29

NEARBY PERFECT CUBES

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

∛216= 66³ = 216

CUBE ROOT LAWS

∛29 × ∛29 × ∛29= 29

(∛29)³= 29

∛(29 × 8)= 2∛29 ≈ 6.1446

∛(29 / 8)= ∛29/2 ≈ 1.5362

∛29 × ∛30≈ 9.5464

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HOW TO CALCULATE

1
Find the prime factorisation of 29: 29 = 29. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(29) cannot be simplified and stays as cbrt(29).
3
Locate cbrt(29) between integers: 3^3 = 27 < 29 < 64 = 4^3. So cbrt(29) is between 3 and 4.
4
Decimal: cbrt(29) approximately 3.0723168257. Verify: (3.072317)^3 approximately 29.

WORKED EXAMPLE

cbrt(29): not a perfect cube. Factorisation: 29 = 29. Simplified: cbrt29. Decimal: cbrt(29) approximately 3.0723168257.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛9 ∛10 ∛11 ∛12 ∛13 ∛14 ∛15 ∛16 ∛17 ∛18 ∛19 ∛20 ∛21 ∛22 ∛23 ∛24 ∛25 ∛26 ∛27 ∛28 ∛30

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.