What is the cube root of 15?

The cube root of 15 is cbrt15. In decimal: cbrt(15) approximately 2.4662120743 This is irrational. cbrt(15) approx 2.46621 is irrational. 15 = 3 x 5, no perfect cube factors.

Is 15 a perfect cube?

No. 15 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 15 falls between these, cbrt(15) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(15) cubed?

(cbrt(15))^3 = 15. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(15))^3 = 15 always.

How is cube root different from square root?

Square root: sqrt(15) approximately 3.872983. Cube root: cbrt(15) approximately 2.466212. 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). 15 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 15 — cbrt(15) = cbrt15

The cube root of 15 is cbrt15. In decimal, cbrt(15) is approximately 2.466212 (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....

∛15 = ?

CUBE ROOT OF 15

∛15

≈ 2.4662120743

Irrational — decimal never ends or repeats

Exact form

∛15

Decimal (6dp)

2.466212

Decimal (10dp)

2.4662120743

Is perfect cube?

(∛15)³

15 ✓

Between

2 and 3

DECIMAL PRECISION

∛15 ≈ 2.4662120743

STEP-BY-STEP

Prime factorisation: 15 = 3 × 5

No perfect cube factor — ∛15 is already in simplest form

2³ = 8 < 15 < 27 = 3³ → ∛15 between 2 and 3

∛15 ≈ 2.4662120743

FUN FACT

cbrt(15) approx 2.46621 is irrational. 15 = 3 x 5, no perfect cube factors.

NUMBER LINE (∛15 ≈ 2.4662)

∛15

CUBE WITH VOLUME = 15

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛15 × ∛15 × ∛15= 15

(∛15)³= 15

∛(15 × 8)= 2∛15 ≈ 4.9324

∛(15 / 8)= ∛15/2 ≈ 1.2331

∛15 × ∛16≈ 6.2145

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HOW TO CALCULATE

1
Find the prime factorisation of 15: 15 = 3 x 5. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(15) cannot be simplified and stays as cbrt(15).
3
Locate cbrt(15) between integers: 2^3 = 8 < 15 < 27 = 3^3. So cbrt(15) is between 2 and 3.
4
Decimal: cbrt(15) approximately 2.4662120743. Verify: (2.466212)^3 approximately 15.

WORKED EXAMPLE

cbrt(15): not a perfect cube. Factorisation: 15 = 3 x 5. Simplified: cbrt15. Decimal: cbrt(15) approximately 2.4662120743.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

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