# What is the square root of 26?

##### 2 Answers

You can only have an approximation: 5.09901951...

#### Explanation:

The square root of a number

Iterating this process gives you all the decimal digits you need.

#### Explanation:

If you want to calculate an approximation by hand, then I would recommend a form of Newton Raphson method, starting with first approximation

To iterate you can use the formula:

where

Personally, I like to deal with these approximations as rational approximations in the form

Iterate using:

So:

Stop when you think you have enough significant digits (typically about the number of significant digits of

Actually