How Do You Find a Cube Root?

When you cube a number, you multiply it by itself three times. A cube root is the value that, when cubed, gives you the original number. One way to find the cube root of a value is by going down the numbers and cubing them until getting the original value.

  1. Go down the number line and cube the numbers

    If the original value is the cube of a whole number, then you should be able to find it by trying to square whole numbers until you get to the original value.

  2. Approximate the original value using whole numbers

    The number that gives you the original value when cubed is the square root of that number. For example, if you're trying to find the cube root of 33, you know 3 cubed is 27 and 4 cubed is 64, so the cube root of 33 must be between 3 and 4.

  3. Find the correct decimal value

    If the number is not the cube of a whole number, find which two values the original value is between and cube the decimals in between those two numbers until reaching the original value. For example, since the cube root of 33 is between 3 and 4, calculate 3.1 cubed, 3.2 cubed, and so on, until you find the correct answer