What is the cube root of 12?

The cube root of 12 is cbrt12. In decimal: cbrt(12) approximately 2.2894284851 This is irrational. cbrt(12) approx 2.28943 is irrational. 12 = 2^2 x 3, no perfect cube factor.

Is 12 a perfect cube?

No. 12 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 12 falls between these, cbrt(12) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(12) cubed?

(cbrt(12))^3 = 12. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(12))^3 = 12 always.

How is cube root different from square root?

Square root: sqrt(12) approximately 3.464102. Cube root: cbrt(12) approximately 2.289428. 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). 12 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 12 — cbrt(12) = cbrt12

The cube root of 12 is cbrt12. In decimal, cbrt(12) is approximately 2.289428 (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....

∛12 = ?

CUBE ROOT OF 12

∛12

≈ 2.2894284851

Irrational — decimal never ends or repeats

Exact form

∛12

Decimal (6dp)

2.289428

Decimal (10dp)

2.2894284851

Is perfect cube?

(∛12)³

12 ✓

Between

2 and 3

DECIMAL PRECISION

∛12 ≈ 2.2894284851

STEP-BY-STEP

Prime factorisation: 12 = 2 × 2 × 3

No perfect cube factor — ∛12 is already in simplest form

2³ = 8 < 12 < 27 = 3³ → ∛12 between 2 and 3

∛12 ≈ 2.2894284851

FUN FACT

cbrt(12) approx 2.28943 is irrational. 12 = 2^2 x 3, no perfect cube factor.

NUMBER LINE (∛12 ≈ 2.2894)

∛12

CUBE WITH VOLUME = 12

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛12 × ∛12 × ∛12= 12

(∛12)³= 12

∛(12 × 8)= 2∛12 ≈ 4.5789

∛(12 / 8)= ∛12/2 ≈ 1.1447

∛12 × ∛13≈ 5.3832

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HOW TO CALCULATE

1
Find the prime factorisation of 12: 12 = 2 x 2 x 3. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(12) cannot be simplified and stays as cbrt(12).
3
Locate cbrt(12) between integers: 2^3 = 8 < 12 < 27 = 3^3. So cbrt(12) is between 2 and 3.
4
Decimal: cbrt(12) approximately 2.2894284851. Verify: (2.289428)^3 approximately 12.

WORKED EXAMPLE

cbrt(12): not a perfect cube. Factorisation: 12 = 2 x 2 x 3. Simplified: cbrt12. Decimal: cbrt(12) approximately 2.2894284851.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛9 ∛10 ∛11 ∛13 ∛14 ∛15 ∛16 ∛17 ∛18 ∛19 ∛20 ∛21 ∛22 ∛23 ∛24 ∛25 ∛26 ∛27 ∛28 ∛29 ∛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.