How do you find the square root of a decimal number, ex 5.5225?

Since the square root of 5 is 2.23 and the square root of 6 is 2.45, you know that the square root of 5.5225 is between 2.23 and 2.45.

Check our previous answer to find out how to get the exact square root.

http://www.jiskha.com/display.cgi?id=1248899080

I searched Google under the key words "square root decimals" to get these possible sources:

http://www.homeschoolmath.net/teaching/square-root-algorithm.php
http://math.arizona.edu/~kerl/doc/square-root.html
http://www.tpub.com/math1/9g.htm

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.

I hope this helps. Thanks for asking.

Thank you for your help

Can you give me a lower grade answer please

This looks too complicated I will be in seventh grade in september

Work through the first site PsyDAG posted. It's the easiest explanation I've seen.

5.5225 is a special case, as it is the square of a rational number:

5.5225 = 55225/10,000 = 2209/400

(47/20)^2 = 2209/400