Fourth Roots Calculator
Instantly find the fourth root of any positive number. This tool provides precise decimal results for your mathematical calculations.
Definition:
y = ∜x ⇔ y⁴ = x
Also expressed as: x^(1/4)
∜16 = 2 (since 2 * 2 * 2 * 2 = 16) ∜81 = 3 (since 3 * 3 * 3 * 3 = 81) ∜100 = 10^(1/2) ≈ 3.1622
What is a fourth root?
The fourth root of a number x is a value y such that y⁴ = x. For example, the fourth root of 16 is 2 because 2 × 2 × 2 × 2 = 16.
Can you take the fourth root of a negative number?
In the real number system, you cannot take the fourth root of a negative number because any real number raised to the fourth power (an even power) is always non-negative. For example, ∜-16 has no real solution.
What is the relationship between square root and fourth root?
The fourth root is the square root of the square root. For example, to find the fourth root of 81, you can find the square root of 81 (which is 9), and then find the square root of 9 (which is 3).
How is the fourth root denoted?
The fourth root is written as ∜x or x^(1/4).
🔗 Related Calculators
📐 Formula
Definition:
y = ∜x ⇔ y⁴ = x
Also expressed as: x^(1/4)
📝 Example Calculation
∜16 = 2 (since 2 * 2 * 2 * 2 = 16) ∜81 = 3 (since 3 * 3 * 3 * 3 = 81) ∜100 = 10^(1/2) ≈ 3.1622
❓ Frequently Asked Questions
What is a fourth root?▼
The fourth root of a number x is a value y such that y⁴ = x. For example, the fourth root of 16 is 2 because 2 × 2 × 2 × 2 = 16.
Can you take the fourth root of a negative number?▼
In the real number system, you cannot take the fourth root of a negative number because any real number raised to the fourth power (an even power) is always non-negative. For example, ∜-16 has no real solution.
What is the relationship between square root and fourth root?▼
The fourth root is the square root of the square root. For example, to find the fourth root of 81, you can find the square root of 81 (which is 9), and then find the square root of 9 (which is 3).
How is the fourth root denoted?▼
The fourth root is written as ∜x or x^(1/4).