Cal11 calculator
Search calculator...

How to Put The Cube Root on A Calculator

Reviewed by Calculator Editorial Team

Calculating cube roots is a fundamental mathematical operation that appears in many real-world applications, from engineering to finance. This guide explains how to find cube roots using different types of calculators, including scientific, graphing, and smartphone calculators.

Different Types of Calculators

There are several types of calculators that can help you find cube roots, each with its own strengths and interfaces. The most common types are:

  • Scientific calculators - Basic but powerful calculators with advanced mathematical functions
  • Graphing calculators - More advanced calculators with graphing capabilities
  • Smartphone calculators - Calculator apps available on mobile devices

Each type of calculator has its own method for calculating cube roots, which we'll explore in the following sections.

Using a Scientific Calculator

Scientific calculators are the most common type of calculator for finding cube roots. They typically have a dedicated cube root function or can calculate it using exponentiation.

Method 1: Using the Cube Root Button

  1. Turn on your scientific calculator
  2. Enter the number you want to find the cube root of
  3. Press the cube root button (often labeled as "x³" or "³√")
  4. Press the equals (=) button to see the result

Method 2: Using Exponentiation

  1. Enter the number you want to find the cube root of
  2. Press the exponentiation button (often labeled as "^" or "y^x")
  3. Enter "1/3" (for the reciprocal of 3)
  4. Press the equals (=) button to see the result

Note: Some scientific calculators may require you to press the "2nd" or "shift" function before accessing the cube root button.

Using a Graphing Calculator

Graphing calculators are more advanced than scientific calculators and can perform a wider range of mathematical operations. Here's how to find cube roots using a graphing calculator:

Method 1: Using the Cube Root Function

  1. Turn on your graphing calculator
  2. Enter the number you want to find the cube root of
  3. Press the cube root function button (often labeled as "³√")
  4. Press the equals (=) button to see the result

Method 2: Using the Y= Editor

  1. Press the "Y=" button to access the function editor
  2. Enter the expression "Y1 = x^(1/3)"
  3. Press the "Graph" button to see the graph of the cube root function
  4. To find a specific value, use the "Trace" function

The cube root of a number x is calculated as x^(1/3).

Using a Smartphone Calculator

Most smartphone operating systems come with built-in calculator apps that can find cube roots. Here's how to use them:

iOS Calculator

  1. Open the Calculator app
  2. Enter the number you want to find the cube root of
  3. Tap the "xⁿ" button (often in the advanced functions section)
  4. Enter "1/3" (for the reciprocal of 3)
  5. Tap the equals (=) button to see the result

Android Calculator

  1. Open the Calculator app
  2. Enter the number you want to find the cube root of
  3. Tap the "xⁿ" button (often in the advanced functions section)
  4. Enter "1/3" (for the reciprocal of 3)
  5. Tap the equals (=) button to see the result

Note: Some smartphone calculators may require you to enable advanced functions first.

The Cube Root Formula

The cube root of a number x is a value that, when multiplied by itself three times, gives the original number. Mathematically, this is expressed as:

³√x = y, where y × y × y = x

For example, the cube root of 27 is 3 because 3 × 3 × 3 = 27.

In terms of exponents, the cube root can be written as x^(1/3).

Worked Examples

Example 1: Finding the Cube Root of 64

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

Example 2: Finding the Cube Root of 125

  1. Enter 125 on your calculator
  2. Press the cube root button (³√)
  3. Press equals (=)
  4. Result: 5 (since 5 × 5 × 5 = 125)

Example 3: Finding the Cube Root of 216

  1. Enter 216 on your calculator
  2. Press the cube root button (³√)
  3. Press equals (=)
  4. Result: 6 (since 6 × 6 × 6 = 216)

Frequently Asked Questions

What is the difference between a square root and a cube root?
The square root of a number x is a value that, when multiplied by itself, gives x. The cube root is a value that, when multiplied by itself three times, gives x. In mathematical terms: √x = y where y × y = x, and ³√x = y where y × y × y = x.
Can I find cube roots of negative numbers?
Yes, you can find cube roots of negative numbers. For example, the cube root of -8 is -2 because (-2) × (-2) × (-2) = -8. This is different from square roots, which are only defined for non-negative numbers in real numbers.
How do I find the cube root of a fraction?
To find the cube root of a fraction, you can separate the numerator and denominator and find the cube root of each part. For example, the cube root of 8/27 is (8/27)^(1/3) = 2/3.
What if my calculator doesn't have a cube root button?
If your calculator doesn't have a dedicated cube root button, you can still find cube roots by using exponentiation. Enter the number, then press the exponentiation button and enter 1/3, then press equals.
How accurate are calculator cube root calculations?
Modern calculators provide highly accurate cube root calculations. Scientific and graphing calculators typically use floating-point arithmetic with many decimal places, ensuring precise results for most practical purposes.