Cube Root Calculator
Calculate the third root of any number instantly. Our tool handles both positive and negative inputs, providing precise decimal results.
Definition:
y = ∛x ⇔ y³ = x
Also expressed as: x^(1/3)
∛27 = 3 (since 3 * 3 * 3 = 27) ∛(-8) = -2 (since -2 * -2 * -2 = -8) ∛10 ≈ 2.1544
What is a cube root?
The cube root of a number x is a value y such that y³ = x. For example, the cube root of 27 is 3 because 3 × 3 × 3 = 27.
Can you take the cube root of a negative number?
Yes! Unlike square roots, cube roots of negative numbers are real and negative. For example, the cube root of -8 is -2 because (-2) × (-2) × (-2) = -8.
What is a perfect cube?
A perfect cube is an integer whose cube root is also an integer. Examples include 1, 8, 27, 64, and 125.
How is the cube root denoted?
The cube root of x is written as ∛x or x^(1/3).
🔗 Related Calculators
📐 Formula
Definition:
y = ∛x ⇔ y³ = x
Also expressed as: x^(1/3)
📝 Example Calculation
∛27 = 3 (since 3 * 3 * 3 = 27) ∛(-8) = -2 (since -2 * -2 * -2 = -8) ∛10 ≈ 2.1544
❓ Frequently Asked Questions
What is a cube root?▼
The cube root of a number x is a value y such that y³ = x. For example, the cube root of 27 is 3 because 3 × 3 × 3 = 27.
Can you take the cube root of a negative number?▼
Yes! Unlike square roots, cube roots of negative numbers are real and negative. For example, the cube root of -8 is -2 because (-2) × (-2) × (-2) = -8.
What is a perfect cube?▼
A perfect cube is an integer whose cube root is also an integer. Examples include 1, 8, 27, 64, and 125.
How is the cube root denoted?▼
The cube root of x is written as ∛x or x^(1/3).