What is the cube root of 4?

The cube root of 4 is cbrt4. In decimal: cbrt(4) approximately 1.5874010520 This is irrational. cbrt(4) approx 1.58740 is irrational. cbrt(4) = cbrt(2)^2, linking it to the cube-doubling problem.

No. 4 is not a perfect cube. 1^3 = 1 and 2^3 = 8. Since 4 falls between these, cbrt(4) is not an integer. Nearest perfect cubes: 1 (= 1^3) and 8 (= 2^3).

What is cbrt(4) cubed?

(cbrt(4))^3 = 4. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(4))^3 = 4 always.

How is cube root different from square root?

Square root: sqrt(4) approximately 2.000000. Cube root: cbrt(4) approximately 1.587401. 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). 4 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 4 — cbrt(4) = cbrt4

The cube root of 4 is cbrt4. In decimal, cbrt(4) is approximately 1.587401 (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....

∛4 = ?

CUBE ROOT OF 4

∛4

≈ 1.5874010520

Irrational — decimal never ends or repeats

Exact form

∛4

Decimal (6dp)

1.587401

Decimal (10dp)

1.5874010520

Is perfect cube?

(∛4)³

4 ✓

Between

1 and 2

DECIMAL PRECISION

∛4 ≈ 1.5874010520

STEP-BY-STEP

Prime factorisation: 4 = 2 × 2

No perfect cube factor — ∛4 is already in simplest form

1³ = 1 < 4 < 8 = 2³ → ∛4 between 1 and 2

∛4 ≈ 1.5874010520

FUN FACT

cbrt(4) approx 1.58740 is irrational. cbrt(4) = cbrt(2)^2, linking it to the cube-doubling problem.

NUMBER LINE (∛4 ≈ 1.5874)

∛4

CUBE WITH VOLUME = 4

NEARBY PERFECT CUBES

∛0= 00³ = 0

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

CUBE ROOT LAWS

∛4 × ∛4 × ∛4= 4

(∛4)³= 4

∛(4 × 8)= 2∛4 ≈ 3.1748

∛(4 / 8)= ∛4/2 ≈ 0.7937

∛4 × ∛5≈ 2.7144

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HOW TO CALCULATE

1
Find the prime factorisation of 4: 4 = 2 x 2. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(4) cannot be simplified and stays as cbrt(4).
3
Locate cbrt(4) between integers: 1^3 = 1 < 4 < 8 = 2^3. So cbrt(4) is between 1 and 2.
4
Decimal: cbrt(4) approximately 1.5874010520. Verify: (1.587401)^3 approximately 4.

WORKED EXAMPLE

cbrt(4): not a perfect cube. Factorisation: 4 = 2 x 2. Simplified: cbrt4. Decimal: cbrt(4) approximately 1.5874010520.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛5 ∛6 ∛7 ∛8 ∛9 ∛10 ∛11 ∛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.