freeCodeCamp/guide/english/mathematics/algebra/intro-to-rationalizing-the-.../index.md

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Intro to Rationalizing the Denominator

Intro to Rationalizing the Denominator

If you can't express the denominator of a fraction in the form of a/b, where a and b are integers, then the denominator is irrational. To simplify the fraction we should rationalize the denominator. Rationalizing the denominator can aid you in solving certain equations. There are a couple ways to do this.

Multiplying by a Root

We can multiply the top and bottom by a root. Notice that we are multiplying the fraction by root 2 divided by itself which is just another way or writing 1.

Multiplying by a Conjugate

We can also multiply the top and bottom by the conjugate.