What is the cube root of 30?

The cube root of 30 is cbrt30. In decimal: cbrt(30) approximately 3.1072325060 This is irrational. cbrt(30) approx 3.10723 is irrational. 30 = 2 x 3 x 5, no repeated prime factors at all.

Is 30 a perfect cube?

No. 30 is not a perfect cube. 3^3 = 27 and 4^3 = 64. Since 30 falls between these, cbrt(30) is not an integer. Nearest perfect cubes: 27 (= 3^3) and 64 (= 4^3).

What is cbrt(30) cubed?

(cbrt(30))^3 = 30. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(30))^3 = 30 always.

How is cube root different from square root?

Square root: sqrt(30) approximately 5.477226. Cube root: cbrt(30) approximately 3.107233. 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). 30 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 30 — cbrt(30) = cbrt30

The cube root of 30 is cbrt30. In decimal, cbrt(30) is approximately 3.107233 (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....

∛30 = ?

CUBE ROOT OF 30

∛30

≈ 3.1072325060

Irrational — decimal never ends or repeats

Exact form

∛30

Decimal (6dp)

3.107233

Decimal (10dp)

3.1072325060

Is perfect cube?

(∛30)³

30 ✓

Between

3 and 4

DECIMAL PRECISION

∛30 ≈ 3.1072325060

STEP-BY-STEP

Prime factorisation: 30 = 2 × 3 × 5

No perfect cube factor — ∛30 is already in simplest form

3³ = 27 < 30 < 64 = 4³ → ∛30 between 3 and 4

∛30 ≈ 3.1072325060

FUN FACT

cbrt(30) approx 3.10723 is irrational. 30 = 2 x 3 x 5, no repeated prime factors at all.

NUMBER LINE (∛30 ≈ 3.1072)

∛30

CUBE WITH VOLUME = 30

NEARBY PERFECT CUBES

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

∛216= 66³ = 216

CUBE ROOT LAWS

∛30 × ∛30 × ∛30= 30

(∛30)³= 30

∛(30 × 8)= 2∛30 ≈ 6.2145

∛(30 / 8)= ∛30/2 ≈ 1.5536

∛30 × ∛31≈ 9.7610

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HOW TO CALCULATE

1
Find the prime factorisation of 30: 30 = 2 x 3 x 5. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(30) cannot be simplified and stays as cbrt(30).
3
Locate cbrt(30) between integers: 3^3 = 27 < 30 < 64 = 4^3. So cbrt(30) is between 3 and 4.
4
Decimal: cbrt(30) approximately 3.1072325060. Verify: (3.107233)^3 approximately 30.

WORKED EXAMPLE

cbrt(30): not a perfect cube. Factorisation: 30 = 2 x 3 x 5. Simplified: cbrt30. Decimal: cbrt(30) approximately 3.1072325060.

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 ∛23 ∛24 ∛25 ∛26 ∛27 ∛28 ∛29

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.