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For right angled triangles it is the square root of square of side A added to square of side B (sorry i don't have a square sign on my keyboard) hypotenuse=square root of AxA+BxB
You could write it in at least two different ways: twelve and thirty nine thousandths, or twelve point zero three nine.
There are a couple of ways to write 5.229: Five point two two nine Five and two hundred twenty-nine thousandths
There are a couple of ways to write 9.761: Nine point seven six one Nine and seven hundred sixty-one thousandths.
If you want a mathematical way to solve square roots that isn't trial and error, you probably need an algorithim. There are many ways to do this, and if you aren't satisfied with my way, or don't understand search for square root algorithims and you will find millions of ways.