What is the cube root of 5?

The cube root of 5 is cbrt5. In decimal: cbrt(5) approximately 1.7099759467 This is irrational. cbrt(5) approx 1.70998 is irrational. 5 is prime.

No. 5 is not a perfect cube. 1^3 = 1 and 2^3 = 8. Since 5 falls between these, cbrt(5) is not an integer. Nearest perfect cubes: 1 (= 1^3) and 8 (= 2^3).

What is cbrt(5) cubed?

(cbrt(5))^3 = 5. This follows from the definition: cbrt(n) is the number that when cubed gives n. So (cbrt(5))^3 = 5 always.

How is cube root different from square root?

Square root: sqrt(5) approximately 2.236068. Cube root: cbrt(5) approximately 1.709976. 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). 5 is not a perfect cube. The next perfect cube after 27 is 64 (= 4^3).

Cube Root of 5 — cbrt(5) = cbrt5

The cube root of 5 is cbrt5. In decimal, cbrt(5) is approximately 1.709976 (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....

∛5 = ?

CUBE ROOT OF 5

∛5

≈ 1.7099759467

Irrational — decimal never ends or repeats

Exact form

∛5

Decimal (6dp)

1.709976

Decimal (10dp)

1.7099759467

Is perfect cube?

(∛5)³

5 ✓

Between

1 and 2

DECIMAL PRECISION

∛5 ≈ 1.7099759467

STEP-BY-STEP

Prime factorisation: 5 = 5

No perfect cube factor — ∛5 is already in simplest form

1³ = 1 < 5 < 8 = 2³ → ∛5 between 1 and 2

∛5 ≈ 1.7099759467

FUN FACT

cbrt(5) approx 1.70998 is irrational. 5 is prime.

NUMBER LINE (∛5 ≈ 1.7100)

∛5

CUBE WITH VOLUME = 5

NEARBY PERFECT CUBES

∛0= 00³ = 0

∛1= 11³ = 1

∛8= 22³ = 8

∛27= 33³ = 27

∛64= 44³ = 64

CUBE ROOT LAWS

∛5 × ∛5 × ∛5= 5

(∛5)³= 5

∛(5 × 8)= 2∛5 ≈ 3.4200

∛(5 / 8)= ∛5/2 ≈ 0.8550

∛5 × ∛6≈ 3.1072

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HOW TO CALCULATE

1
Find the prime factorisation of 5: 5 = 5. Look for any prime appearing 3+ times.
2
No factor appears 3+ times, so cbrt(5) cannot be simplified and stays as cbrt(5).
3
Locate cbrt(5) between integers: 1^3 = 1 < 5 < 8 = 2^3. So cbrt(5) is between 1 and 2.
4
Decimal: cbrt(5) approximately 1.7099759467. Verify: (1.709976)^3 approximately 5.

WORKED EXAMPLE

cbrt(5): not a perfect cube. Factorisation: 5 = 5. Simplified: cbrt5. Decimal: cbrt(5) approximately 1.7099759467.

FREQUENTLY ASKED QUESTIONS

OTHER CUBE ROOTS

∛1 ∛2 ∛3 ∛4 ∛6 ∛7 ∛8 ∛9 ∛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.