What is the cube root of 22?

The cube root of 22 is cbrt22. In decimal: cbrt(22) approximately 2.8020393307 This is irrational. cbrt(22) approx 2.80204 is irrational. 22 = 2 x 11, no perfect cube factors.

Is 22 a perfect cube?

No. 22 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 22 falls between these, cbrt(22) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(22) cubed?

(cbrt(22))^3 = 22. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(22))^3 = 22 always.

How is cube root different from square root?

Square root: sqrt(22) approximately 4.690416. Cube root: cbrt(22) approximately 2.802039. 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). 22 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 22 — cbrt(22) = cbrt22

The cube root of 22 is cbrt22. In decimal, cbrt(22) is approximately 2.802039 (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....

∛22 = ?

CUBE ROOT OF 22

∛22

≈ 2.8020393307

Irrational — decimal never ends or repeats

Exact form

∛22

Decimal (6dp)

2.802039

Decimal (10dp)

2.8020393307

Is perfect cube?

(∛22)³

22 ✓

Between

2 and 3

DECIMAL PRECISION

∛22 ≈ 2.8020393307

STEP-BY-STEP

Prime factorisation: 22 = 2 × 11

No perfect cube factor — ∛22 is already in simplest form

2³ = 8 < 22 < 27 = 3³ → ∛22 between 2 and 3

∛22 ≈ 2.8020393307

FUN FACT

cbrt(22) approx 2.80204 is irrational. 22 = 2 x 11, no perfect cube factors.

NUMBER LINE (∛22 ≈ 2.8020)

∛22

CUBE WITH VOLUME = 22

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛22 × ∛22 × ∛22= 22

(∛22)³= 22

∛(22 × 8)= 2∛22 ≈ 5.6041

∛(22 / 8)= ∛22/2 ≈ 1.4010

∛22 × ∛23≈ 7.9686

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HOW TO CALCULATE

1
Find the prime factorisation of 22: 22 = 2 x 11. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(22) cannot be simplified and stays as cbrt(22).
3
Locate cbrt(22) between integers: 2^3 = 8 < 22 < 27 = 3^3. So cbrt(22) is between 2 and 3.
4
Decimal: cbrt(22) approximately 2.8020393307. Verify: (2.802039)^3 approximately 22.

WORKED EXAMPLE

cbrt(22): not a perfect cube. Factorisation: 22 = 2 x 11. Simplified: cbrt22. Decimal: cbrt(22) approximately 2.8020393307.

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 ∛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.