# How do you simplify #sqrt(257)#?

##### 1 Answer

Jul 29, 2015

#### Explanation:

If the radicand has a square factor, then you can move the square root of that factor outside of the square root.

For example,

If

In your case you can note that *approximation* to the square root for use with a method like Newton Raphson.

So you can put

or suchlike to quickly find a very good approximation.

In our case