What is the cube root of 20?

The cube root of 20 is cbrt20. In decimal: cbrt(20) approximately 2.7144176166 This is irrational. cbrt(20) approx 2.71442 is irrational. 20 = 2^2 x 5, no perfect cube factor.

Is 20 a perfect cube?

No. 20 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 20 falls between these, cbrt(20) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(20) cubed?

(cbrt(20))^3 = 20. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(20))^3 = 20 always.

How is cube root different from square root?

Square root: sqrt(20) approximately 4.472136. Cube root: cbrt(20) approximately 2.714418. 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). 20 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 20 — cbrt(20) = cbrt20

The cube root of 20 is cbrt20. In decimal, cbrt(20) is approximately 2.714418 (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....

∛20 = ?

CUBE ROOT OF 20

∛20

≈ 2.7144176166

Irrational — decimal never ends or repeats

Exact form

∛20

Decimal (6dp)

2.714418

Decimal (10dp)

2.7144176166

Is perfect cube?

(∛20)³

20 ✓

Between

2 and 3

DECIMAL PRECISION

∛20 ≈ 2.7144176166

STEP-BY-STEP

Prime factorisation: 20 = 2 × 2 × 5

No perfect cube factor — ∛20 is already in simplest form

2³ = 8 < 20 < 27 = 3³ → ∛20 between 2 and 3

∛20 ≈ 2.7144176166

FUN FACT

cbrt(20) approx 2.71442 is irrational. 20 = 2^2 x 5, no perfect cube factor.

NUMBER LINE (∛20 ≈ 2.7144)

∛20

CUBE WITH VOLUME = 20

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛20 × ∛20 × ∛20= 20

(∛20)³= 20

∛(20 × 8)= 2∛20 ≈ 5.4288

∛(20 / 8)= ∛20/2 ≈ 1.3572

∛20 × ∛21≈ 7.4889

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HOW TO CALCULATE

1
Find the prime factorisation of 20: 20 = 2 x 2 x 5. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(20) cannot be simplified and stays as cbrt(20).
3
Locate cbrt(20) between integers: 2^3 = 8 < 20 < 27 = 3^3. So cbrt(20) is between 2 and 3.
4
Decimal: cbrt(20) approximately 2.7144176166. Verify: (2.714418)^3 approximately 20.

WORKED EXAMPLE

cbrt(20): not a perfect cube. Factorisation: 20 = 2 x 2 x 5. Simplified: cbrt20. Decimal: cbrt(20) approximately 2.7144176166.

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 ∛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.