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Math Help - Please Help Me!

  1. #1
    daniel_dan
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    Please Help Me!

    Hello friends,
    I am studying in 10th class. Actually I have a question and Iím 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!
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  2. #2
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    Quote Originally Posted by daniel_dan View Post
    Hello friends,
    I am studying in 10th class. Actually I have a question and Iím unable to solve this question. My question is: How can we find the square root of a number by hand?
    I am going to give an an algorithmic approach. Meaning a step-by-step program to do by hand. Each time you do a step the better you get to the square root.

    Let x be some positive number. And we want to find \sqrt{x}. Let a be your guess. Meaning what you think the square root it. You can be totally off, it will still work. But the better you guess the faster it will work.

    Find \frac{a^2 + x }{2a}.
    Call this b.

    Now pretend that b is your guess. (Which is now better).
    Find,
    \frac{b^2+x}{2b}.
    Call this c.

    Now this is c is better so find \frac{c^2+x}{2c}. And keep on going .... The more you do it the closer you get.

    For example, you want to find \sqrt{2}.

    Make a guess a=1.

    That means b = \frac{1^2 + 2}{2(1)} =1.5.

    That means c=\frac{1.5^2 + 2}{2(1.5)} = 1.41.

    You can see you start getting better and better.
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  3. #3
    zachary
    Guest

    Re: Please Help Me!

    Hi,
    Iím studying in 12th class. I can solve your question easily but I donít 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. Itís really nice place for getting solutions for all categories. Hope this will help you.
    Good luck!
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