Table of Contents

## How do you rationalize a denominator step by step?

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

- Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.
- Step 2: Make sure all radicals are simplified.
- Step 3: Simplify the fraction if needed.

## How do you rationalize an imaginary fraction?

Step by step guide to rationalizing Imaginary Denominators Step 1: Find the conjugate (it’s the denominator with different sign between the two terms. Step 2: Multiply the numerator and denominator by the conjugate. Step 3: Simplify if needed.

**How do you rationalize a denominator on a calculator?**

The procedure to rationalize the denominator calculator is as follows:

- Step 1: Enter the numerator and the denominator value in the input field.
- Step 2: Now click the button “Rationalize Denominator” to get the output.
- Step 3: The result will be displayed in the output field.

**Why do we rationalize denominators?**

In cases where you have a fraction with a radical in the denominator, you can use a technique called rationalizing a denominator to eliminate the radical. The point of rationalizing a denominator is to make it easier to understand what the quantity really is by removing radicals from the denominators.

### How do you simplify a fraction with an imaginary number in the denominator?

To simplify this fraction we multiply the numerator and the denominator by the complex conjugate of the denominator. When we reverse the sign of the imaginary part, we have the complex conjugate. Another way to think of this is to replace all the i with -i. As we can see here, the complex conjugate of 3 – 4i is 3 + 4i.

### How do you change the imaginary number from the numerator to the denominator?

When you have an imaginary number in the denominator, multiply the numerator and denominator by the conjugate of the denominator.

**How do you rationalize imaginary denominators?**

How to Solve Rationalizing Imaginary Denominators? (+FREE Worksheet!) Step 1: Find the conjugate (it’s the denominator with different sign between the two terms. Step 2: Multiply the numerator and denominator by the conjugate. Step 3: Simplify if needed.

**How to rationalize a denominator with three terms?**

Let’s understand how to rationalize the denominator with three terms from the example given below: Here, the denominator contains three terms. Let’s write two radical terms of the denominator in one parenthesis and the remaining term with its corresponding sign such as: The conjugate of √7 + (√5 – √2) is √7 – (√5 – √2).

#### How do you rationalize 1/√3?

Example 1: Rationalise the denominator of 1/√3. Given radical expression is 1/√3. Now, we have to write 1/√3 as an equivalent expression in which the denominator is a rational number. As we know, √3 is irrational and the product √3.√3 is a rational number. Thus, by multiplying 1/√3 by √3/√3 we can get the required equivalent expression.

#### How do you rationalize the denominator of a radical?

Rationalize The Denominator When dealing with radical expressions, we apply the technique of rationalisation. Suppose we can ‘rationalise’ the denominator to convert the denominator into a rational number. For this, we require the identities comprising square roots.