What is the cube root of 16?

The cube root of 16 is 2cbrt2. In decimal: cbrt(16) approximately 2.5198420998 This is irrational. cbrt(16) = 2*cbrt(2) approx 2.51984. Simplifies because 16 = 8 x 2 and cbrt(8) = 2. So cbrt(16) = 2 * cbrt(2).

Is 16 a perfect cube?

No. 16 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 16 falls between these, cbrt(16) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(16) cubed?

(cbrt(16))^3 = 16. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(16))^3 = 16 always.

How is cube root different from square root?

Square root: sqrt(16) approximately 4.000000. Cube root: cbrt(16) approximately 2.519842. 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). 16 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 16 — cbrt(16) = 2cbrt2

The cube root of 16 is 2cbrt2. In decimal, cbrt(16) is approximately 2.519842 (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....

∛16 = ?

CUBE ROOT OF 16

2∛2

≈ 2.5198420998

Irrational — decimal never ends or repeats

Exact form

2∛2

Decimal (6dp)

2.519842

Decimal (10dp)

2.5198420998

Is perfect cube?

(∛16)³

16 ✓

Between

2 and 3

DECIMAL PRECISION

∛16 ≈ 2.5198420998

STEP-BY-STEP

Prime factorisation: 16 = 2 × 2 × 2 × 2

Extract perfect cube factor: ∛16 = ∛(8 × 2) = 2∛2

2³ = 8 < 16 < 27 = 3³ → ∛16 between 2 and 3

∛16 ≈ 2.5198420998

FUN FACT

cbrt(16) = 2*cbrt(2) approx 2.51984. Simplifies because 16 = 8 x 2 and cbrt(8) = 2. So cbrt(16) = 2 * cbrt(2).

NUMBER LINE (∛16 ≈ 2.5198)

∛16

CUBE WITH VOLUME = 16

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛16 × ∛16 × ∛16= 16

(∛16)³= 16

∛(16 × 8)= 2∛16 ≈ 5.0397

∛(16 / 8)= ∛16/2 ≈ 1.2599

∛16 × ∛17≈ 6.4792

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HOW TO CALCULATE

1
Find the prime factorisation of 16: 16 = 2 x 2 x 2 x 2. Look for any prime appearing 3+ times.
2
Extract the perfect cube factor: cbrt(16) = cbrt(8 x 2) = 2 x cbrt(2) = 2cbrt2.
3
Locate cbrt(16) between integers: 2^3 = 8 < 16 < 27 = 3^3. So cbrt(16) is between 2 and 3.
4
Decimal: cbrt(16) approximately 2.5198420998. Verify: (2.519842)^3 approximately 16.

WORKED EXAMPLE

cbrt(16): not a perfect cube. Factorisation: 16 = 2 x 2 x 2 x 2. Simplified: 2cbrt2. Decimal: cbrt(16) approximately 2.5198420998.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛9 ∛10 ∛11 ∛12 ∛13 ∛14 ∛15 ∛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.