We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

#2**+8 **

There are probably many methods........you can read about a couple of them here......http://mathforum.org/dr.math/faq/faq.sqrt.by.hand.html

(Be sure to scroll to the bottom of the page for some links to others.....)

CPhill Oct 17, 2014

#1**+5 **

i dont know i belive it would be very hard to do that though it would take a math wiz

thelonewolf Oct 17, 2014

#2**+8 **

Best Answer

There are probably many methods........you can read about a couple of them here......http://mathforum.org/dr.math/faq/faq.sqrt.by.hand.html

(Be sure to scroll to the bottom of the page for some links to others.....)

CPhill Oct 17, 2014

#3**+5 **

Yes, one approach is to use a divide and average approach.

Example: $$\sqrt{3}$$

Guess an approximate answer, say 2.

- Divide to obtain 3/2 = 1.5 and average to obtain (2 + 1.5)/2 = 1.75.
- Divide to obtain 3/1.75 = 1.71428 and average to obtain (1.75 + 1.71428)/2 = 1.73214
- Divide to obtain 3/1.73214 = 1.73196 and average to obtain (1.73214 + 1.73196)/2 = 1.73205

This is already close to the value provided by a calculator and becomes even more accurate if you use more decimal places and repeat the divide and average a few more times. This method was known for thousands of years.

Guest Oct 17, 2014