What is the cube root of 26?

The cube root of 26 is cbrt26. In decimal: cbrt(26) approximately 2.9624960684 This is irrational. cbrt(26) approx 2.96250 is irrational. 26 = 2 x 13, no perfect cube factors.

Is 26 a perfect cube?

No. 26 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 26 falls between these, cbrt(26) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(26) cubed?

(cbrt(26))^3 = 26. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(26))^3 = 26 always.

How is cube root different from square root?

Square root: sqrt(26) approximately 5.099020. Cube root: cbrt(26) approximately 2.962496. 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). 26 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 26 — cbrt(26) = cbrt26

The cube root of 26 is cbrt26. In decimal, cbrt(26) is approximately 2.962496 (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....

∛26 = ?

CUBE ROOT OF 26

∛26

≈ 2.9624960684

Irrational — decimal never ends or repeats

Exact form

∛26

Decimal (6dp)

2.962496

Decimal (10dp)

2.9624960684

Is perfect cube?

(∛26)³

26 ✓

Between

2 and 3

DECIMAL PRECISION

∛26 ≈ 2.9624960684

STEP-BY-STEP

Prime factorisation: 26 = 2 × 13

No perfect cube factor — ∛26 is already in simplest form

2³ = 8 < 26 < 27 = 3³ → ∛26 between 2 and 3

∛26 ≈ 2.9624960684

FUN FACT

cbrt(26) approx 2.96250 is irrational. 26 = 2 x 13, no perfect cube factors.

NUMBER LINE (∛26 ≈ 2.9625)

∛26

CUBE WITH VOLUME = 26

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛26 × ∛26 × ∛26= 26

(∛26)³= 26

∛(26 × 8)= 2∛26 ≈ 5.9250

∛(26 / 8)= ∛26/2 ≈ 1.4812

∛26 × ∛27≈ 8.8875

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HOW TO CALCULATE

1
Find the prime factorisation of 26: 26 = 2 x 13. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(26) cannot be simplified and stays as cbrt(26).
3
Locate cbrt(26) between integers: 2^3 = 8 < 26 < 27 = 3^3. So cbrt(26) is between 2 and 3.
4
Decimal: cbrt(26) approximately 2.9624960684. Verify: (2.962496)^3 approximately 26.

WORKED EXAMPLE

cbrt(26): not a perfect cube. Factorisation: 26 = 2 x 13. Simplified: cbrt26. Decimal: cbrt(26) approximately 2.9624960684.

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 ∛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.