What is the cube root of 23?

The cube root of 23 is cbrt23. In decimal: cbrt(23) approximately 2.8438669799 This is irrational. cbrt(23) approx 2.84387 is irrational. 23 is prime.

Is 23 a perfect cube?

No. 23 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 23 falls between these, cbrt(23) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(23) cubed?

(cbrt(23))^3 = 23. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(23))^3 = 23 always.

How is cube root different from square root?

Square root: sqrt(23) approximately 4.795832. Cube root: cbrt(23) approximately 2.843867. 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). 23 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 23 — cbrt(23) = cbrt23

The cube root of 23 is cbrt23. In decimal, cbrt(23) is approximately 2.843867 (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....

∛23 = ?

CUBE ROOT OF 23

∛23

≈ 2.8438669799

Irrational — decimal never ends or repeats

Exact form

∛23

Decimal (6dp)

2.843867

Decimal (10dp)

2.8438669799

Is perfect cube?

(∛23)³

23 ✓

Between

2 and 3

DECIMAL PRECISION

∛23 ≈ 2.8438669799

STEP-BY-STEP

Prime factorisation: 23 = 23

No perfect cube factor — ∛23 is already in simplest form

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

∛23 ≈ 2.8438669799

FUN FACT

cbrt(23) approx 2.84387 is irrational. 23 is prime.

NUMBER LINE (∛23 ≈ 2.8439)

∛23

CUBE WITH VOLUME = 23

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛23 × ∛23 × ∛23= 23

(∛23)³= 23

∛(23 × 8)= 2∛23 ≈ 5.6877

∛(23 / 8)= ∛23/2 ≈ 1.4219

∛23 × ∛24≈ 8.2031

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HOW TO CALCULATE

1
Find the prime factorisation of 23: 23 = 23. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(23) cannot be simplified and stays as cbrt(23).
3
Locate cbrt(23) between integers: 2^3 = 8 < 23 < 27 = 3^3. So cbrt(23) is between 2 and 3.
4
Decimal: cbrt(23) approximately 2.8438669799. Verify: (2.843867)^3 approximately 23.

WORKED EXAMPLE

cbrt(23): not a perfect cube. Factorisation: 23 = 23. Simplified: cbrt23. Decimal: cbrt(23) approximately 2.8438669799.

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 ∛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.