Reducing a square root

: 1300 Linear Algebra 1 A04, Sasho Kalajdzievski: Fall 2002 Session: Reducing a square root
   By Anonymous on Sunday, November 03, 2002 - 03:31 pm: Edit Post

I was just wondering how you can reduce a square root. It is probably easy but I have been out of high school for 7 years.

ex. the square root of 104 can be expressed as
2 * the square root of 26

If any one could help that would be great!

   By Sasho on Sunday, November 03, 2002 - 05:54 pm: Edit Post

Divide as far as possible in order to factor your number as a product of prime numbers. Say, 104=(2)(52)=(2)(2)(26)=(2)(2)(2)(13). Then, for every pair of same numbers that you see take one of them out of the square root, erase the other, and leave the rest in the square root. Keep doing that until you have no pairs of same prime numbers in the square root. In your example, you see two 2-s: take one of them out of the root, erase the other to get 2*SqareRoot(2*13); done.

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