## Square Root mathMethods

One small (but slow) method of calculating SQRT(N):

```Number = N ; Number to take square root of
SQRT = 0
K=1

Do While Number > 0
Number = Number - K
SQRT = SQRT + 1
K = K + 2
End Do
```

Another fairly simple (but much faster) method of calculating sqrt(n): is the Newton method:

```        s(i+1) = { s(i)*s(i) + p }/{ 2*s(i) }
```
or in more detail
```Number = N ; input value
;-- we want to finish with s^2 approximately equal to N.
Do While (...?...)
s = ( s*s + N ) / ( 2 * s ) ; the average of "s" and "N/s".
End Do
```

The Newton method requires a 8-bit into 16-bit division algorithm.

For more theory see

If you want tested implementations for a particular processor, see:

 file: /Techref/method/math/sqrt.htm, 2KB, , updated: 2024/5/22 18:08, local time: 2024/6/17 08:45, TOP NEW HELP FIND:  34.239.176.54:LOG IN

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