What is the cube root of 14?

The cube root of 14 is cbrt14. In decimal: cbrt(14) approximately 2.4101422642 This is irrational. cbrt(14) approx 2.41014 is irrational. 14 = 2 x 7, no perfect cube factors.

Is 14 a perfect cube?

No. 14 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 14 falls between these, cbrt(14) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(14) cubed?

(cbrt(14))^3 = 14. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(14))^3 = 14 always.

How is cube root different from square root?

Square root: sqrt(14) approximately 3.741657. Cube root: cbrt(14) approximately 2.410142. 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). 14 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 14 — cbrt(14) = cbrt14

The cube root of 14 is cbrt14. In decimal, cbrt(14) is approximately 2.410142 (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....

∛14 = ?

CUBE ROOT OF 14

∛14

≈ 2.4101422642

Irrational — decimal never ends or repeats

Exact form

∛14

Decimal (6dp)

2.410142

Decimal (10dp)

2.4101422642

Is perfect cube?

(∛14)³

14 ✓

Between

2 and 3

DECIMAL PRECISION

∛14 ≈ 2.4101422642

STEP-BY-STEP

Prime factorisation: 14 = 2 × 7

No perfect cube factor — ∛14 is already in simplest form

2³ = 8 < 14 < 27 = 3³ → ∛14 between 2 and 3

∛14 ≈ 2.4101422642

FUN FACT

cbrt(14) approx 2.41014 is irrational. 14 = 2 x 7, no perfect cube factors.

NUMBER LINE (∛14 ≈ 2.4101)

∛14

CUBE WITH VOLUME = 14

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛14 × ∛14 × ∛14= 14

(∛14)³= 14

∛(14 × 8)= 2∛14 ≈ 4.8203

∛(14 / 8)= ∛14/2 ≈ 1.2051

∛14 × ∛15≈ 5.9439

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HOW TO CALCULATE

1
Find the prime factorisation of 14: 14 = 2 x 7. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(14) cannot be simplified and stays as cbrt(14).
3
Locate cbrt(14) between integers: 2^3 = 8 < 14 < 27 = 3^3. So cbrt(14) is between 2 and 3.
4
Decimal: cbrt(14) approximately 2.4101422642. Verify: (2.410142)^3 approximately 14.

WORKED EXAMPLE

cbrt(14): not a perfect cube. Factorisation: 14 = 2 x 7. Simplified: cbrt14. Decimal: cbrt(14) approximately 2.4101422642.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛9 ∛10 ∛11 ∛12 ∛13 ∛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.