What is the cube root of 28?

The cube root of 28 is cbrt28. In decimal: cbrt(28) approximately 3.0365889719 This is irrational. cbrt(28) approx 3.03659 is irrational. 28 = 2^2 x 7, no perfect cube factor.

Is 28 a perfect cube?

No. 28 is not a perfect cube. 3^3 = 27 and 4^3 = 64. Since 28 falls between these, cbrt(28) is not an integer. Nearest perfect cubes: 27 (= 3^3) and 64 (= 4^3).

What is cbrt(28) cubed?

(cbrt(28))^3 = 28. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(28))^3 = 28 always.

How is cube root different from square root?

Square root: sqrt(28) approximately 5.291503. Cube root: cbrt(28) approximately 3.036589. 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). 28 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 28 — cbrt(28) = cbrt28

The cube root of 28 is cbrt28. In decimal, cbrt(28) is approximately 3.036589 (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....

∛28 = ?

CUBE ROOT OF 28

∛28

≈ 3.0365889719

Irrational — decimal never ends or repeats

Exact form

∛28

Decimal (6dp)

3.036589

Decimal (10dp)

3.0365889719

Is perfect cube?

(∛28)³

28 ✓

Between

3 and 4

DECIMAL PRECISION

∛28 ≈ 3.0365889719

STEP-BY-STEP

Prime factorisation: 28 = 2 × 2 × 7

No perfect cube factor — ∛28 is already in simplest form

3³ = 27 < 28 < 64 = 4³ → ∛28 between 3 and 4

∛28 ≈ 3.0365889719

FUN FACT

cbrt(28) approx 3.03659 is irrational. 28 = 2^2 x 7, no perfect cube factor.

NUMBER LINE (∛28 ≈ 3.0366)

∛28

CUBE WITH VOLUME = 28

NEARBY PERFECT CUBES

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

∛216= 66³ = 216

CUBE ROOT LAWS

∛28 × ∛28 × ∛28= 28

(∛28)³= 28

∛(28 × 8)= 2∛28 ≈ 6.0732

∛(28 / 8)= ∛28/2 ≈ 1.5183

∛28 × ∛29≈ 9.3294

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HOW TO CALCULATE

1
Find the prime factorisation of 28: 28 = 2 x 2 x 7. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(28) cannot be simplified and stays as cbrt(28).
3
Locate cbrt(28) between integers: 3^3 = 27 < 28 < 64 = 4^3. So cbrt(28) is between 3 and 4.
4
Decimal: cbrt(28) approximately 3.0365889719. Verify: (3.036589)^3 approximately 28.

WORKED EXAMPLE

cbrt(28): not a perfect cube. Factorisation: 28 = 2 x 2 x 7. Simplified: cbrt28. Decimal: cbrt(28) approximately 3.0365889719.

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 ∛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.