What is the cube root of 9?

The cube root of 9 is cbrt9. In decimal: cbrt(9) approximately 2.0800838231 This is irrational. cbrt(9) approx 2.08008 is irrational. 9 = 3^2, so cbrt(9) = 3^(2/3). Not a perfect cube.

No. 9 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 9 falls between these, cbrt(9) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(9) cubed?

(cbrt(9))^3 = 9. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(9))^3 = 9 always.

How is cube root different from square root?

Square root: sqrt(9) approximately 3.000000. Cube root: cbrt(9) approximately 2.080084. 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). 9 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 9 — cbrt(9) = cbrt9

The cube root of 9 is cbrt9. In decimal, cbrt(9) is approximately 2.080084 (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....

∛9 = ?

CUBE ROOT OF 9

∛9

≈ 2.0800838231

Irrational — decimal never ends or repeats

Exact form

∛9

Decimal (6dp)

2.080084

Decimal (10dp)

2.0800838231

Is perfect cube?

(∛9)³

9 ✓

Between

2 and 3

DECIMAL PRECISION

∛9 ≈ 2.0800838231

STEP-BY-STEP

Prime factorisation: 9 = 3 × 3

No perfect cube factor — ∛9 is already in simplest form

2³ = 8 < 9 < 27 = 3³ → ∛9 between 2 and 3

∛9 ≈ 2.0800838231

FUN FACT

cbrt(9) approx 2.08008 is irrational. 9 = 3^2, so cbrt(9) = 3^(2/3). Not a perfect cube.

NUMBER LINE (∛9 ≈ 2.0801)

∛9

CUBE WITH VOLUME = 9

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛9 × ∛9 × ∛9= 9

(∛9)³= 9

∛(9 × 8)= 2∛9 ≈ 4.1602

∛(9 / 8)= ∛9/2 ≈ 1.0400

∛9 × ∛10≈ 4.4814

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HOW TO CALCULATE

1
Find the prime factorisation of 9: 9 = 3 x 3. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(9) cannot be simplified and stays as cbrt(9).
3
Locate cbrt(9) between integers: 2^3 = 8 < 9 < 27 = 3^3. So cbrt(9) is between 2 and 3.
4
Decimal: cbrt(9) approximately 2.0800838231. Verify: (2.080084)^3 approximately 9.

WORKED EXAMPLE

cbrt(9): not a perfect cube. Factorisation: 9 = 3 x 3. Simplified: cbrt9. Decimal: cbrt(9) approximately 2.0800838231.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛10 ∛11 ∛12 ∛13 ∛14 ∛15 ∛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.