What is the cube root of 11?

The cube root of 11 is cbrt11. In decimal: cbrt(11) approximately 2.2239800906 This is irrational. cbrt(11) approx 2.22398 is irrational. 11 is prime.

Is 11 a perfect cube?

No. 11 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 11 falls between these, cbrt(11) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(11) cubed?

(cbrt(11))^3 = 11. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(11))^3 = 11 always.

How is cube root different from square root?

Square root: sqrt(11) approximately 3.316625. Cube root: cbrt(11) approximately 2.223980. 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). 11 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 11 — cbrt(11) = cbrt11

The cube root of 11 is cbrt11. In decimal, cbrt(11) is approximately 2.22398 (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....

∛11 = ?

CUBE ROOT OF 11

∛11

≈ 2.2239800906

Irrational — decimal never ends or repeats

Exact form

∛11

Decimal (6dp)

2.223980

Decimal (10dp)

2.2239800906

Is perfect cube?

(∛11)³

11 ✓

Between

2 and 3

DECIMAL PRECISION

∛11 ≈ 2.2239800906

STEP-BY-STEP

Prime factorisation: 11 = 11

No perfect cube factor — ∛11 is already in simplest form

2³ = 8 < 11 < 27 = 3³ → ∛11 between 2 and 3

∛11 ≈ 2.2239800906

FUN FACT

cbrt(11) approx 2.22398 is irrational. 11 is prime.

NUMBER LINE (∛11 ≈ 2.2240)

∛11

CUBE WITH VOLUME = 11

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛11 × ∛11 × ∛11= 11

(∛11)³= 11

∛(11 × 8)= 2∛11 ≈ 4.4480

∛(11 / 8)= ∛11/2 ≈ 1.1120

∛11 × ∛12≈ 5.0916

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HOW TO CALCULATE

1
Find the prime factorisation of 11: 11 = 11. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(11) cannot be simplified and stays as cbrt(11).
3
Locate cbrt(11) between integers: 2^3 = 8 < 11 < 27 = 3^3. So cbrt(11) is between 2 and 3.
4
Decimal: cbrt(11) approximately 2.2239800906. Verify: (2.22398)^3 approximately 11.

WORKED EXAMPLE

cbrt(11): not a perfect cube. Factorisation: 11 = 11. Simplified: cbrt11. Decimal: cbrt(11) approximately 2.2239800906.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛9 ∛10 ∛12 ∛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.