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How to Put Cube Root in Calculator

Reviewed by Calculator Editorial Team

Calculating cube roots is essential in mathematics, engineering, and science. This guide explains how to input cube roots on different types of calculators, including scientific, graphing, and online calculators.

How to Calculate Cube Root

The cube root of a number x is a value that, when multiplied by itself three times, gives the original number. In mathematical terms:

∛x = y, where y × y × y = x

To calculate cube roots using a calculator:

  1. Enter the number you want to find the cube root of
  2. Locate the cube root function (often labeled as "x³" or "³√x")
  3. Press the function button
  4. Press the equals button to get the result

Different calculator types have slightly different methods:

  • Scientific calculators: Look for a button labeled "³√x" or "x³"
  • Graphing calculators: Use the "Math" menu and select "cube root"
  • Online calculators: Enter the number in the input field and select "cube root"

Calculator Methods for Cube Roots

Scientific Calculator Method

Most scientific calculators have a dedicated cube root function:

  1. Press the number you want to find the cube root of (e.g., 27)
  2. Press the "³√x" button (often located near the square root function)
  3. Press "=" to see the result (3 in this case)

Graphing Calculator Method

On graphing calculators like the TI-84:

  1. Press "MATH"
  2. Select "A" for "A to D" functions
  3. Choose "cube root" from the list
  4. Enter the number and press ")"
  5. Press "ENTER" to see the result

Online Calculator Method

Online calculators typically have a simple interface:

  1. Enter the number in the input field
  2. Select "cube root" from the operation menu
  3. Click "Calculate" to get the result

Cube Root Formula

The cube root of a number x can be expressed mathematically as:

∛x = x^(1/3)

This formula shows that the cube root is equivalent to raising the number to the power of 1/3. Most scientific calculators have a direct cube root function, but understanding this formula helps when using basic calculators.

Note: For negative numbers, the cube root will also be negative (e.g., ∛(-8) = -2).

Worked Examples

Example 1: Positive Integer

Find the cube root of 64.

  1. Enter 64 on your calculator
  2. Press the cube root button (³√x)
  3. Result: 4 (since 4 × 4 × 4 = 64)

Example 2: Decimal Number

Find the cube root of 125.763.

  1. Enter 125.763
  2. Press ³√x
  3. Result: 5.01 (since 5.01 × 5.01 × 5.01 ≈ 125.763)

Example 3: Negative Number

Find the cube root of -27.

  1. Enter -27
  2. Press ³√x
  3. Result: -3 (since -3 × -3 × -3 = -27)

FAQ

How do I find the cube root on a basic calculator?

Basic calculators don't have a dedicated cube root function. You can calculate it using the power function: enter the number, press the power (^) button, enter 1/3, then press equals.

What's the difference between square root and cube root?

The square root of a number x is a value y where y × y = x. The cube root is a value y where y × y × y = x. Cube roots are used for volume calculations and three-dimensional measurements.

Can I calculate cube roots of complex numbers?

Yes, but it requires more advanced mathematical knowledge. Most standard calculators can only handle real numbers for cube roots.