What is the cube root of 25?

The cube root of 25 is cbrt25. In decimal: cbrt(25) approximately 2.9240177382 This is irrational. cbrt(25) approx 2.92402 is irrational. 25 = 5^2, cbrt(25) = 5^(2/3). Not a perfect cube.

Is 25 a perfect cube?

No. 25 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 25 falls between these, cbrt(25) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(25) cubed?

(cbrt(25))^3 = 25. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(25))^3 = 25 always.

How is cube root different from square root?

Square root: sqrt(25) approximately 5.000000. Cube root: cbrt(25) approximately 2.924018. 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). 25 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 25 — cbrt(25) = cbrt25

The cube root of 25 is cbrt25. In decimal, cbrt(25) is approximately 2.924018 (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....

∛25 = ?

CUBE ROOT OF 25

∛25

≈ 2.9240177382

Irrational — decimal never ends or repeats

Exact form

∛25

Decimal (6dp)

2.924018

Decimal (10dp)

2.9240177382

Is perfect cube?

(∛25)³

25 ✓

Between

2 and 3

DECIMAL PRECISION

∛25 ≈ 2.9240177382

STEP-BY-STEP

Prime factorisation: 25 = 5 × 5

No perfect cube factor — ∛25 is already in simplest form

2³ = 8 < 25 < 27 = 3³ → ∛25 between 2 and 3

∛25 ≈ 2.9240177382

FUN FACT

cbrt(25) approx 2.92402 is irrational. 25 = 5^2, cbrt(25) = 5^(2/3). Not a perfect cube.

NUMBER LINE (∛25 ≈ 2.9240)

∛25

CUBE WITH VOLUME = 25

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛25 × ∛25 × ∛25= 25

(∛25)³= 25

∛(25 × 8)= 2∛25 ≈ 5.8480

∛(25 / 8)= ∛25/2 ≈ 1.4620

∛25 × ∛26≈ 8.6624

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HOW TO CALCULATE

1
Find the prime factorisation of 25: 25 = 5 x 5. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(25) cannot be simplified and stays as cbrt(25).
3
Locate cbrt(25) between integers: 2^3 = 8 < 25 < 27 = 3^3. So cbrt(25) is between 2 and 3.
4
Decimal: cbrt(25) approximately 2.9240177382. Verify: (2.924018)^3 approximately 25.

WORKED EXAMPLE

cbrt(25): not a perfect cube. Factorisation: 25 = 5 x 5. Simplified: cbrt25. Decimal: cbrt(25) approximately 2.9240177382.

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 ∛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.