What is the cube root of 19?

The cube root of 19 is cbrt19. In decimal: cbrt(19) approximately 2.6684016487 This is irrational. cbrt(19) approx 2.66840 is irrational. 19 is prime.

Is 19 a perfect cube?

No. 19 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 19 falls between these, cbrt(19) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(19) cubed?

(cbrt(19))^3 = 19. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(19))^3 = 19 always.

How is cube root different from square root?

Square root: sqrt(19) approximately 4.358899. Cube root: cbrt(19) approximately 2.668402. 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). 19 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 19 — cbrt(19) = cbrt19

The cube root of 19 is cbrt19. In decimal, cbrt(19) is approximately 2.668402 (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....

∛19 = ?

CUBE ROOT OF 19

∛19

≈ 2.6684016487

Irrational — decimal never ends or repeats

Exact form

∛19

Decimal (6dp)

2.668402

Decimal (10dp)

2.6684016487

Is perfect cube?

(∛19)³

19 ✓

Between

2 and 3

DECIMAL PRECISION

∛19 ≈ 2.6684016487

STEP-BY-STEP

Prime factorisation: 19 = 19

No perfect cube factor — ∛19 is already in simplest form

2³ = 8 < 19 < 27 = 3³ → ∛19 between 2 and 3

∛19 ≈ 2.6684016487

FUN FACT

cbrt(19) approx 2.66840 is irrational. 19 is prime.

NUMBER LINE (∛19 ≈ 2.6684)

∛19

CUBE WITH VOLUME = 19

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛19 × ∛19 × ∛19= 19

(∛19)³= 19

∛(19 × 8)= 2∛19 ≈ 5.3368

∛(19 / 8)= ∛19/2 ≈ 1.3342

∛19 × ∛20≈ 7.2432

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HOW TO CALCULATE

1
Find the prime factorisation of 19: 19 = 19. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(19) cannot be simplified and stays as cbrt(19).
3
Locate cbrt(19) between integers: 2^3 = 8 < 19 < 27 = 3^3. So cbrt(19) is between 2 and 3.
4
Decimal: cbrt(19) approximately 2.6684016487. Verify: (2.668402)^3 approximately 19.

WORKED EXAMPLE

cbrt(19): not a perfect cube. Factorisation: 19 = 19. Simplified: cbrt19. Decimal: cbrt(19) approximately 2.6684016487.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛9 ∛10 ∛11 ∛12 ∛13 ∛14 ∛15 ∛16 ∛17 ∛18 ∛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.