Cal11 calculator
Search calculator...

How to Type A Cube Root on A Calculator

Reviewed by Calculator Editorial Team

Calculating cube roots is a common mathematical operation, but the method varies depending on the type of calculator you're using. This guide explains how to type a cube root on different calculator types, including basic, scientific, graphing, and smartphone calculators.

Different Calculator Types

Calculators come in various types, each with its own method for calculating cube roots. Understanding these differences will help you use the right approach for your specific calculator.

Cube roots are the inverse operation of cubing a number. For example, the cube root of 27 is 3 because 3 × 3 × 3 = 27.

Basic Calculators

Basic calculators typically don't have a dedicated cube root function. However, you can still calculate cube roots using the following methods:

Method 1: Using Exponents

  1. Enter the number you want to find the cube root of.
  2. Press the exponent (^) button.
  3. Enter 1/3 (for the reciprocal of 3).
  4. Press the equals (=) button to get the result.

Method 2: Using the Square Root Function

  1. Find the square root of the number.
  2. Then find the square root of that result to get the cube root.

For a number x, the cube root can be calculated as: ∛x = (√(√x))

Scientific Calculators

Scientific calculators typically have a dedicated cube root function, making calculations much simpler.

Using the Cube Root Function

  1. Enter the number you want to find the cube root of.
  2. Press the cube root (∛) button.
  3. Press the equals (=) button to get the result.

Scientific calculators often have a "2nd" or "shift" function that allows you to access additional mathematical operations, including cube roots.

Graphing Calculators

Graphing calculators, like those used in advanced math classes, offer powerful tools for calculating cube roots.

Using the Cube Root Function

  1. Enter the number you want to find the cube root of.
  2. Press the cube root (∛) button.
  3. Press the equals (=) button to get the result.

Using the Y= Editor

  1. Go to the Y= editor.
  2. Enter the cube root function: Y1 = ∛(X).
  3. Graph the function to visualize the cube root.

The cube root function is defined as Y = X^(1/3).

Smartphone Calculators

Most smartphone calculators apps offer a variety of methods for calculating cube roots.

Using the Basic Calculator

  1. Open the calculator app.
  2. Enter the number you want to find the cube root of.
  3. Press the exponent (^) button.
  4. Enter 1/3 (for the reciprocal of 3).
  5. Press the equals (=) button to get the result.

Using the Scientific Mode

  1. Switch the calculator to scientific mode.
  2. Enter the number you want to find the cube root of.
  3. Press the cube root (∛) button.
  4. Press the equals (=) button to get the result.

Popular calculator apps like Google Calculator, Microsoft Calculator, and Apple Calculator offer cube root functions in their scientific modes.

Example Calculations

Let's look at some example calculations to illustrate how to find cube roots on different calculators.

Example 1: Finding the Cube Root of 64

On a scientific calculator:

  1. Enter 64.
  2. Press the ∛ button.
  3. Press = to get 4.

On a basic calculator:

  1. Enter 64.
  2. Press ^.
  3. Enter 1/3.
  4. Press = to get 4.

Example 2: Finding the Cube Root of 125

On a smartphone calculator:

  1. Enter 125.
  2. Press the ∛ button.
  3. Press = to get 5.

∛64 = 4 and ∛125 = 5 because 4 × 4 × 4 = 64 and 5 × 5 × 5 = 125.

FAQ

Can I calculate cube roots without a calculator?

Yes, you can estimate cube roots by trial and error or use mathematical methods like the Newton-Raphson approximation, but using a calculator is much faster and more accurate.

What is the difference between a cube root and a square root?

A cube root finds a number that, when multiplied by itself three times, gives the original number. A square root finds a number that, when multiplied by itself, gives the original number.

Can I calculate cube roots of negative numbers?

Yes, the cube root of a negative number is also negative. For example, ∛(-8) = -2 because (-2) × (-2) × (-2) = -8.

What if my calculator doesn't have a cube root function?

You can use the exponent function with 1/3 as the exponent or use the square root function twice to approximate the cube root.