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Root Calculator

This is a root calculator web page that allows users to calculate the nth root of a number. Simple and easy-to-use interface.
Root Calculator

Root Calculator

How to use root calculator

  1. Enter a number: Type the number you want to find the root of in the input box labeled "Enter a number".
  2. Choose a root: Select the type of root you want to find from the dropdown menu labeled "Choose a root".
  3. Click on "Calculate": Once you have entered a number and selected a root type, click on the "Calculate" button to get the result.
  4. View the result: The result of the calculation will be displayed below the "Calculate" button, in a paragraph element labeled "result".
Note: This calculator can find the square root, cube root, 4th root, 5th root, 6th root, 7th root, 8th root, and 9th root of a number.
Root calculator

​Root Calculations: A Beginner's Guide

Root calculations are a fundamental aspect of mathematics, used in everything from basic arithmetic to advanced calculus. In this article, we'll explore the concept of roots, how to calculate them, and some real-world examples of their use.

What are Roots?

A root is the inverse of an exponent, also known as a radical. It represents the value that must be raised to a certain power to obtain a given number. For example, the square root of 25 is 5, because 5² = 25. Similarly, the cube root of 8 is 2, because 2³ = 8.
Types of Roots
There are many types of roots, each denoted by a specific symbol. The most common are:
  • Square Root (√) - Denoted by the symbol √, the square root is the most commonly used root. It represents the value that must be squared to obtain a given number.
  • Cube Root (∛) - Denoted by the symbol ∛, the cube root represents the value that must be cubed to obtain a given number.
  • Fourth Root (∜) - Denoted by the symbol ∜, the fourth root represents the value that must be raised to the fourth power to obtain a given number.

How to Calculate Roots

Calculating roots is a simple process, especially if you have access to a calculator. The formula for calculating a root is as follows:

​root(n, x) = x^(1/n)

​Where n is the root number (i.e., 2 for square root, 3 for cube root, etc.), and x is the number you want to find the root of.

Examples of Root Calculations

Let's take a look at some examples of root calculations in action.

Example 1: Square Root
What is the square root of 81?
Using the formula above, we can calculate the square root of 81 as follows:
root(2, 81) = 81^(1/2) = 9
As a result, the square root of 81 is 9.

Example 2: Cube Root
What is the cube root of 27?
Using the formula above, we can calculate the cube root of 27 as follows:
root(3, 27) = 27^(1/3) = 3
As a result, the cube root of 27 is 3.

Example 3: Fourth Root
What is the fourth root of 16?
Using the formula above, we can calculate the fourth root of 16 as follows:
root(4, 16) = 16^(1/4) = 2
Hence, the fourth root of 16 is 2.


Root calculations are a fundamental aspect of mathematics, used in everything from basic arithmetic to advanced calculus. By understanding the types of roots, the formula for calculating them, and some real-world examples of their use, you can begin to develop a solid foundation in this essential mathematical concept.

​​Visit us at z-table.com for more math and stats calculators.

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  • Z Table
  • How To Use Z-Score Table
  • Z Score Calculator
  • Z Score Probability Calculator
  • Contact Us
    • Advertise Here
  • Calculate Z-score
  • Z Score Formula
  • History on Normal Distirbution
  • Z Score Table Blog
  • Other Statistical Tables
    • T Value Table
    • Chi-Square Table
    • F Distribution Table
  • Z Score Chart Basics
  • Standard Deviation Calculator
  • Mean, Median and Mode Calculator
  • Percentage Increase Calculator
  • Factor Calculator
  • Rounding Calculator
    • Round 15 to the nearest ten
    • Round 75 to the nearest ten
    • Round 35 to the nearest ten
    • Round 5 to the nearest ten
    • Round 3 to the Nearest Ten
  • Random Number Generator
  • Root Calculator
  • Square Root Calculator
    • Square root of 2
    • Square root of 8
    • Square root of 5
    • Square root of 4
    • Square root of 3
    • Square root of 64
    • Square root of 10
    • Square root of 16
    • Square root of 25
    • Square root of 12
    • Square root of 50
    • Square root of 20
    • Square root of 9
    • Square root of 100
    • Square root of 36
    • Square root of 6
    • Square root of 49
    • Square root of 1
    • Square root of 32
    • Square root of 40
    • Square root of 81
    • Square root of 18
    • Square root of 72
    • Square root of 13
    • Square root of 80
    • Square root of 45
  • Interquartile Range Calculator
  • Cumulative Binomial Probability Calculator
  • Exponent calculator
  • Decimal to Fraction Calculator
  • Fraction to Percent Calculator
  • Celsius to Fahrenheit Converter
    • 37 C to F
  • Fahrenheit to Celsius Converter
    • 68 F to C
  • Kilograms to Pounds Converter
    • 60 kg to lb
    • 80 kg to lbs
    • 150 kg to lbs
    • 100 kg to lbs
    • 50 kg to lbs
  • Statistics Forum
  • Statistics Z Score Jokes
  • Privacy Policy
  • Useful Calculators and Converters