x 3
x

Understanding cube roots and their calculations is essential for various mathematical and scientific applications. The cube root represents the number that, when multiplied by itself twice, yields the original value.

If you want to calculate the square root, then use the Square Root Calculator.

What is a Cube Root?

The cube root of a number is the value that, when raised to the power of three, gives the original number.

It is the opposite operation of cubing a number.

For example, the cube root of 27 is 3 because 3 * 3 * 3 equals 27. The cube root is denoted by the symbol “∛.”

A Cube Root of a number x is a number y such that y3 = x.

∛x = y ⟺ y3 = x

For example, let us take the number 4. We know that 4 × 4 × 4 = 64. Hence, 64 is called the cube of 4.

The cube root is a special case of the exponent, so it can be written in another way.

{\sqrt[3]{x} = {x}^{\frac{1}{3}}}

Using the Cube Root Calculator

To calculate the cube root of a number using a cube root calculator, follow these steps:

  1. Enter the Number: Input the number for which you want to find the cube root into the calculator.
  2. Click Calculate: Click on the calculate button to obtain the cube root value.
  3. Interpret the Result: The calculator will provide the cube root value of the entered number.

Example 1: Finding the Cube Root of 125

Let’s calculate the cube root of 125 using the cube root calculator:

  1. Enter the Number: Input 125 into the cube root calculator.
  2. Click Calculate: Click on the calculate button.
  3. Interpret the Result: The calculator displays the cube root value of 125 as 5.

Hence, the cube root of 125 is 5 Check .

Example 2: Calculating the Cube Root of 64

Now, let’s determine the cube root of 64 using the cube root calculator:

  1. Enter the Number: Input 64 into the cube root calculator.
  2. Click Calculate: Click on the calculate button.
  3. Interpret the Result: The calculator provides the cube root value of 64 as 4.

Thus, the cube root of 64 is 4 Check .

List of Cube Roots

  • Cube root of 1 is 1, since 1 * 1 * 1 = 1;
  • Cube root of 8 is 2, since 2 * 2 * 2 = 8;
  • Cube root of 27 is 3, since 3 * 3 * 3 = 9;
  • Cube root of 64 is 4, since 4 * 4 * 4 = 64;
  • Cube root of 125 is 5, since 5 * 5 * 5 = 125;
  • Cube root of 216 is 6, since 6 * 6 * 6 = 216;
  • Cube root of 343 is 7, since 7 * 7 * 7 = 343;
  • Cube root of 512 is 8, since 8 * 8 * 8 = 512;
  • Cube root of 729 is 9, since 9 * 9 * 9 = 729;
  • Cube root of 1000 is 10, since 10 * 10 * 10 = 1000;

Page views: 517