# How do you simplify #sqrt10#?

##### 1 Answer

Feb 17, 2016

#### Answer:

It is not possible to simplify

#### Explanation:

It is an irrational number, that is it not expressible as

In fact, it can be expressed as a continued fraction:

#sqrt(10) = [3;bar(6)] = 3 + 1/(6+1/(6+1/(6+1/(6+...))))#

We can get rational *approximations* for

For example:

#sqrt(10) ~~ 3 + 1/(6+1/6) = 117/37 ~~ 3.bar(1)6bar(2)#