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##### Asked by: Marylyn Hornel

business and finance interest rates# How do you rationalize the numerator with two terms?

**rationalize the denominator**, you mustmultiply both the

**numerator**and the

**denominator**bythe conjugate of the

**denominator**. Remember to find theconjugate all you have to do is change the sign between the

**twoterms**. Step

**2**: Distribute (or FOIL) both the

**numerator**and the

**denominator**.

Furthermore, how do you rationalize the numerator?

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

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

**Rationalize the Denominator**

- Multiply Both Top and Bottom by a Root. Sometimes we can justmultiply both top and bottom by a root:
- Multiply Both Top and Bottom by the Conjugate. There is anotherspecial way to move a square root from the bottom of a fraction tothe top we multiply both top and bottom by the conjugate of thedenominator.

what is rationalize in math?

The process by which a fraction is rewritten so that thedenominator contains only rational numbers. A variety of techniquesfor **rationalizing** the denominator are demonstrated below.Square Roots. (a > 0, b > 0, c > 0) Examples.

To **rationalize the denominator**, you must multiplyboth the numerator and the **denominator** by the conjugate ofthe **denominator**. Remember to find the conjugate all you haveto do is change the sign between the **two** terms. Step 2:Distribute (or FOIL) both the numerator and the**denominator**.