Radical Expressions Calculator

How to Use the Radical Expressions Calculator

The Radical Expressions Calculator is a tool designed to simplify, multiply, divide, or add/subtract radical expressions. Follow these steps to effectively use the calculator.

Step 1: Input the Radicand

Enter the Radicand: Begin by locating the first input field labeled “Enter the radicand (number under the radical)”. Here, you must enter a number which will be the base under the radical sign. Ensure the number is non-negative as the minimum accepted value is 0.

Step 2: Specify the Index

Enter the Index: Next, input the root you are calculating by entering a number in the field labeled “Enter the index (nth root)”. The minimum allowable value here is 2, with steps of 1 only. This field specifies which root you are interested in finding (e.g., square root, cube root).

Step 3: Select the Operation

Select the Operation: Choose the type of operation you want to perform by selecting one from the dropdown labeled “Select Operation”. You can select from “Simplify Radical”, “Multiply Radicals”, “Divide Radicals”, or “Add/Subtract Radicals”. This step determines how the radicands will be processed.

Step 4 (Optional): Input a Second Radicand

Enter a Second Radicand: If you’ve selected an operation involving two radicals (multiply, divide, or add/subtract), you will need to provide a second radicand. Locate the field labeled “Second radicand (for operations with two radicals)” and enter your number. This field is optional if the operation selected is “Simplify Radical”.

Step 5: Calculating the Result

View the Results: After entering all required fields, the calculator will process the data and display your results. The results are divided into different fields:

• Simplified Form: Displays the simplified version of the radical expression to four decimal places.
• Rational Part (Outside Radical): Shows the greatest integer less than or equal to the simplified form.
• Irrational Part (Inside Radical): Reveals the remaining part under the radical after removing the rational part.
• Operation Result: This varies based on the operation selected and provides the computed result of all entered data to four decimal places.

Follow these steps to explore and correctly utilize the Radical Expressions Calculator for solving various radical expressions. Ensure all inputs meet the specified validation requirements for accurate results.