## Introduction to Rationalize the Denominator Calculator

Rationalize the Denominator Calculator is an online tool that helps you to rationalize denominator problems in a fraction of a second. Our tool is not only to **evaluate the irrational number** from the denominator but also to convert it into a simpler form for further calculation.

The rationalize denominator method has a complex calculation while you are solving algebraic expressions manually. To avoid all the confusion that you face during calculation, you must try out our rationalize denominator calculator to get a faster and more accurate result for your given question.

## What is a Rational Denominator

Rationalize denominator is a method that is used to **reduce irrational numbers**. It is basically used to simplify the fraction after eliminating radical or imaginary numbers from the denominator so that you can easily find the given problem.

The rationalization method is used in algebra to simplify the denominator value from the given mathematical expression, whether the question is radical/radical or sum/radical, radical/sum, etc.

## When Do We Rationalize the Denominator

Rationalization of the denominator is a common method that is used when an **algebraic expression is not simplified** because of its denominator value.

When expressions contain square roots or cube roots, we use this method to remove the radical from the denominator to simplify it. In the same way, when solving equations or inequalities, rationalizing the denominator is necessary to eliminate radicals and make problems easy to solve.

## How to Rationalize the Denominator

To calculate the rationalized denominator, first we need to **understand the type** of question that requires a solution. According to the given problem we decide which method to use for finding a solution that simplifies the denominator.

To rationalize the denominator, take the denominator value from the given expression and change its sign from positive to negative or negative to positive (this value is called conjugate or conjugacy factor).

Let's discuss the steps of calculation that you rationalize for the denominator. These steps are:

**Step 1: **As per the given mathematical expression, the **conjugate factor** is multiplied or divided with the denominator or numerator of the given expression.

**Step 2: **After multiplying or dividing the conjugate factor, simplified them using mathematical operations.

**Step 3: **Now your denominator value is simplified, you can further solve it to make the given expression more simpler.

Additionally, you can use our rationalize the denominator calculator to **simplify irrational numbers** in the denominator for further calculation, which is totally free!

## Practical Example of Rationalize Denominator

Let's see an **example of a rationalized denominator** problem with a solution where all the steps are given that justify the working process of the rationalise the denominator calculator.

### Example:

Rationalize the given expression

$$ \frac{15 \times \sqrt{13}}{7 \times \sqrt[5]{9}} $$

**Solution**:

$$ \frac{15 \times \sqrt{13}}{7 \times \sqrt[5]{9}} $$

$$ \frac{15 \times \sqrt{13}}{7 \times \sqrt[5]{9}} \times \frac{\sqrt[5]{9^4}}{\sqrt[5]{9^4}} $$

$$ \frac{15 \times \sqrt[10]{(1343046721)}}{7 \times 9} $$

$$ 0.2390 \times \sqrt[10]{30074733} $$

## How to Use Rationalize Denominator Calculator

Rationalizing denominator calculator has a user-friendly layout that allows you to use it for the calculation of rationalization methods for various types of mathematical expression in algebra.

Before entering the input function in the rational denominator calculator, you must follow some **simple steps** so that you get an amazing experience. These steps are:

- Choose the type of expression from the given list (radical/radical, sum/radical, radical/sum, sum/sum).

- Enter the first number value in the input box.

- Enter the second number value in the next input box.

- Review your problem before hitting the calculate button to start the evaluation process.

- Click the “Calculate” button to get the result of your given problem for rationalization.
- If you want to try out our calculator for the first time then you can use the load example to get a better understanding of the concept of rationalize denominator method.

- Click on the “Recalculate” button to get a new page for more solutions of rationalization of algebraic expression.

## Output of Rationalise the Denominator Calculator

Rationalize the denominator calculator gives you the **solution of a given question** when you add the input into it. It provides you with solutions in a detailed procedure It may be included as:

- Result Option

When you click on the Result option it gives you a solution to the given algebraic problem.

- Possible Steps

When you click on this option, it provides a solution in which all the evaluation processes are present in a step-by-step method for rationalizing the denominator problem.

## Benefits of Using Rationalizing Denominator Calculator

The Rationalize Denominator Calculator provides multiple benefits whenever you calculate problems and gives you a solution. You do not need to do anything; simply input the value into the calculator. These benefits are:

- It is a
**free-of-cost tool**, so you can use it anytime to find the rationalization problem without charge.

- It is a versatile tool that can manage various kinds of algebraic questions with solutions.

- You can use our rational denominator calculator to practice more examples of rational denominators. It will help you gain a strong understanding of how do you rationalize a denominator.

- Our rationalise the denominator calculator saves the time that you spend on doing the rationalized denominator calculations problems.

- It is a reliable tool that provides accurate solutions whenever you use it to calculate rationalize denominator examples without making any mistakes.

- Rationalize the denominator calculator provides the solution with a complete process in a stepwise method so that you get clarity on the rationalize denominator problems.