###### Asked in Math and ArithmeticNumbers Irrational Numbers

Math and Arithmetic

Numbers

Irrational Numbers

# How do you add irrational numbers?

## Answer

###### Wiki User

###### November 01, 2010 1:36PM

First you need to set your denominators equally to their lowest common. Then you take that lowest common and use it with the two or more irrationals. Using it, you need to multiply the denominator of the irrationals to get the LCD, you multiply both the top and bottom. The bootoms will all be the same but the tops wont. Then add the tops together and reduce. The denominator will be the LCD!

**Ans 2.** The answer above fundamentally misunderstands what
an irrational number is. In order to have a numerator and a
denominator, you must be able to express your number as a ratio.
The word irrational means that this is a number that can **not**
be expressed as a ratio.

## Related Questions

###### Asked in Algebra

### What are irrational numbers closed under?

Irrational numbers are not closed under any of the fundamental
operations. You can always find cases where you add two irrational
numbers (for example), and get a rational result. On the other
hand, the set of real numbers (which includes both rational and
irrational numbers) is closed under addition, subtraction, and
multiplication - and if you exclude the zero, under division.