Rationalize The Denominator Calculator


Rationalize the denominator calculator is a free online tool that gives the rationalized denominator for the given input. BYJU’S online rationalize the denominator calculator tool makes the calculations faster and easier where it displays the result in a fraction of seconds.

How to Use Rationalize the Denominator 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

What is Rationalization of a Number?

Rationalization is the process of removing the imaginary numbers from the denominator of an algebraic expression. It is the method of moving the radical (i.e., square root or cube root) from the bottom (denominator) of the fraction to the top (numerator). To remove the radicals, multiply both the numerator and denominator by the conjugate of the denominator.

Standard Form

The standard form to represent the rationalization of a denominator is given as follows:

Consider a fractional number, 1/(a-√b)

The rationalized form of the number is written as

[1/(a-√b)] × [(a+√b) / (a+√b)]

Rationalized Form= [(a+√b) / (a2 -b)]

Frequently Asked Questions on Rationalize The Denominator


What is meant by rationalization?

Rationalization in Maths is the process of removing the radical or imaginary number from the denominator of a fraction. This method is also known as rationalizing the denominator.


What is meant by surds?

A fraction contains two parts. One is the numerator, and the other is a denominator. The number i.e., square root or cube root that cannot be simplified further is called surd. The surd may be either numerator or denominator.


How to rationalize the denominator?

The denominator of a fraction can be rationalised by taking the conjugate of a denominator and multiplying it by both the numerator and denominator.


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