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Python math.cbrt() Method

The Python math.cbrt() method is used to calculate the cube root of a given number.

Mathematically, the cube root method, denoted as ∛x, is a mathematical operation that finds a number which, when multiplied by itself twice, gives the original number x. Mathematically, this is expressed as −

∛x = y such that y3 = x

For example, if x = 8, then the cube root of 8(∛8) is 2 because 2³ = 8. Similarly, if x = -27, then the cube root of -27(∛-27) is -3 because (-3)³ = -27.

Following is the basic syntax of the Python math.cbrt() method −

math.cbrt(x)

This method accepts an integer or a floating-point number as a parameter for which you want to calculate cube root.

The method returns the cube root of the given value. The return value is also a floating-point number.

In the following example, we are calculating the cube root of a positive integer using the math.cbrt() method −

import math
result = math.cbrt(27)
print("Cube root of 27:", result)

The output obtained is as follows −

Cube root of 27: 3.0

In here, we are calculating the cube root of a negative integer using the math.cbrt() method −

import math
result = math.cbrt(-64)
print("Cube root of -64:", result)

Following is the output of the above code −

Cube root of -64: -4.0

In this example, we are evaluating the sum of the cube root for x=3 and x + 1 using the math.cbrt() method −

import math
x = 81
result = math.cbrt(x) + math.cbrt(x+1)
print("cube root obtained is:", result)

We get the output as shown below −

cube root obtained is: 8.671230196690837

Now, we use the math.cbrt() method to calculate the cube root of a negative floating-point number −

import math
result = math.cbrt(-125.0)
print("Cube root of -125.0:", result)

The result produced is as shown below −

Cube root of -125.0: -5.0

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