What is the cube root of 17?

The cube root of 17 is cbrt17. In decimal: cbrt(17) approximately 2.5712815907 This is irrational. cbrt(17) approx 2.57128 is irrational. 17 is prime.

Is 17 a perfect cube?

No. 17 is not a perfect cube. 2^3 = 8 and 3^3 = 27. Since 17 falls between these, cbrt(17) is not an integer. Nearest perfect cubes: 8 (= 2^3) and 27 (= 3^3).

What is cbrt(17) cubed?

(cbrt(17))^3 = 17. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(17))^3 = 17 always.

How is cube root different from square root?

Square root: sqrt(17) approximately 4.123106. Cube root: cbrt(17) approximately 2.571282. 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). 17 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 17 — cbrt(17) = cbrt17

The cube root of 17 is cbrt17. In decimal, cbrt(17) is approximately 2.571282 (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....

∛17 = ?

CUBE ROOT OF 17

∛17

≈ 2.5712815907

Irrational — decimal never ends or repeats

Exact form

∛17

Decimal (6dp)

2.571282

Decimal (10dp)

2.5712815907

Is perfect cube?

(∛17)³

17 ✓

Between

2 and 3

DECIMAL PRECISION

∛17 ≈ 2.5712815907

STEP-BY-STEP

Prime factorisation: 17 = 17

No perfect cube factor — ∛17 is already in simplest form

2³ = 8 < 17 < 27 = 3³ → ∛17 between 2 and 3

∛17 ≈ 2.5712815907

FUN FACT

cbrt(17) approx 2.57128 is irrational. 17 is prime.

NUMBER LINE (∛17 ≈ 2.5713)

∛17

CUBE WITH VOLUME = 17

NEARBY PERFECT CUBES

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

∛125= 55³ = 125

CUBE ROOT LAWS

∛17 × ∛17 × ∛17= 17

(∛17)³= 17

∛(17 × 8)= 2∛17 ≈ 5.1426

∛(17 / 8)= ∛17/2 ≈ 1.2856

∛17 × ∛18≈ 6.7387

Created with❤️byeaglecalculator.com

HOW TO CALCULATE

1
Find the prime factorisation of 17: 17 = 17. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(17) cannot be simplified and stays as cbrt(17).
3
Locate cbrt(17) between integers: 2^3 = 8 < 17 < 27 = 3^3. So cbrt(17) is between 2 and 3.
4
Decimal: cbrt(17) approximately 2.5712815907. Verify: (2.571282)^3 approximately 17.

WORKED EXAMPLE

cbrt(17): not a perfect cube. Factorisation: 17 = 17. Simplified: cbrt17. Decimal: cbrt(17) approximately 2.5712815907.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛5 ∛6 ∛7 ∛8 ∛9 ∛10 ∛11 ∛12 ∛13 ∛14 ∛15 ∛16 ∛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.