#### zachary_za

Joined Sep 3, 2007
1
Hello friends,
I am studying in 10th class. Actually I have a question and Im unable to solve this question. My question is: How can we find the square root of a number by hand? How about cube roots? If anybody can solve my question I will grateful. Thanks in advance!

#### hgmjr

Joined Jan 28, 2005
9,027
There are a number of numerical anaylsis techniques available for determining the Nth root of a number.

The one that comes immediately to mind is the Newton-Raphson Method. It entails a knowledge of calculus specifically derivatives.

hgmjr

#### beenthere

Joined Apr 20, 2004
15,819
A wonderfully tedious but successful method is simple long division, where to divisor is squared before being subtracted from the dividend.

#### alexander

Joined Sep 3, 2007
1
Hi zachary_za,
Im studying in 12th class. I can solve you question easily but I dont have time for that so I would recommend you for a place called mindzinger where you can get any solution any time and regularly. I got it when was in 10th class. I used mindzinger and I got distinction in mathematics. Its really nice place for getting solutions for all categories. Hope this will help you.
Good luck!

#### Papabravo

Joined Feb 24, 2006
21,031
Once upon a time I learned the manual method for extracting square roots. Rest assured that you can discover it if you search long enough and hard enough. I cannot remember it well enough to describe it since very soon after I learned it I graduated to using a slide rule.

I remember a poor friend of mine who couldn't afford the \$29.95 for Eugene Dietzen Log-Log Duplex Deci-Trig and committrd to memory the table of four place logarithms. He could do square roots in the twinkling of an eye. It's just the anti-log of half the log of the number of interest.