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Algebra/Long Algebraic Method (square roots)

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Question
I'm attempting to tutor a seventh grade student in finding the square root of large numbers using the Long Algebraic Method. I've never seen this method before and the book isn't offering useful information. Factoring and guess/checking isn't allowed.

Example: Calculate the square roof of 7203856.

Thank you for your help!
Jamie

Answer
Hello Jamie,

Here are some links that should be helpful:
http://math.arizona.edu/~kerl/doc/square-root.html
http://www.homeschoolmath.net/teaching/square-root-algorithm.php (scroll down a bit)
http://www.itl.nist.gov/div897/sqg/dads/HTML/squareRoot.html
http://imo.typepad.com/imo/2008/07/how-do-i-manual.html

Let me know if you need any more help.

Enjoy!  :-)

Abe

Algebra

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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