What is the cube root of 10?

The cube root of 10 is cbrt10. In decimal: cbrt(10) approximately 2.1544346900 This is irrational. cbrt(10) approx 2.15443 is irrational. A useful mental maths fact: cbrt(1000) = 10.

Is 10 a perfect cube?

No. 10 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 10 falls between these, cbrt(10) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(10) cubed?

(cbrt(10))^3 = 10. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(10))^3 = 10 always.

How is cube root different from square root?

Square root: sqrt(10) approximately 3.162278. Cube root: cbrt(10) approximately 2.154435. 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). 10 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 10 — cbrt(10) = cbrt10

The cube root of 10 is cbrt10. In decimal, cbrt(10) is approximately 2.154435 (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....

∛10 = ?

CUBE ROOT OF 10

∛10

≈ 2.1544346900

Irrational — decimal never ends or repeats

Exact form

∛10

Decimal (6dp)

2.154435

Decimal (10dp)

2.1544346900

Is perfect cube?

(∛10)³

10 ✓

Between

2 and 3

DECIMAL PRECISION

∛10 ≈ 2.1544346900

STEP-BY-STEP

Prime factorisation: 10 = 2 × 5

No perfect cube factor — ∛10 is already in simplest form

2³ = 8 < 10 < 27 = 3³ → ∛10 between 2 and 3

∛10 ≈ 2.1544346900

FUN FACT

cbrt(10) approx 2.15443 is irrational. A useful mental maths fact: cbrt(1000) = 10.

NUMBER LINE (∛10 ≈ 2.1544)

∛10

CUBE WITH VOLUME = 10

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛10 × ∛10 × ∛10= 10

(∛10)³= 10

∛(10 × 8)= 2∛10 ≈ 4.3089

∛(10 / 8)= ∛10/2 ≈ 1.0772

∛10 × ∛11≈ 4.7914

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HOW TO CALCULATE

1
Find the prime factorisation of 10: 10 = 2 x 5. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(10) cannot be simplified and stays as cbrt(10).
3
Locate cbrt(10) between integers: 2^3 = 8 < 10 < 27 = 3^3. So cbrt(10) is between 2 and 3.
4
Decimal: cbrt(10) approximately 2.1544346900. Verify: (2.154435)^3 approximately 10.

WORKED EXAMPLE

cbrt(10): not a perfect cube. Factorisation: 10 = 2 x 5. Simplified: cbrt10. Decimal: cbrt(10) approximately 2.1544346900.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛9 ∛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.