mathematics Verified Precision Tool
Cube Root Calculator
Calculate real cube roots cbrt(x) for positive and negative numbers.
Calculation Solution
cbrt(100) = 4.641589
Cube Root
Mathematical Formula
y = cbrt(x) where y^3 = x
Overview & Explanation
The cube root of a number x is a number y such that y * y * y = x. Cube roots exist for all real numbers.
How It Works
- Find the number y that yields x when cubed.
Practical Applications
- Calculating 3D cubic volume side lengths.
Worked Example: cbrt(125)
Find cube root of 125.
1
Find y such that y^3 = 125
5 * 5 * 5 = 125
= 5
Frequently Asked Questions
Can a cube root be negative?
Yes. The cube root of a negative number is negative because (-y)^3 is negative.
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