SOLUTION: what is the answer to the square root of 7.. not in decimal term though like in a regular number.. for example the square root of 16 is 4... jus like that but for the square root o

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Question 135818: what is the answer to the square root of 7.. not in decimal term though like in a regular number.. for example the square root of 16 is 4... jus like that but for the square root of 7..?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
sqrt(7) is an irrational number which means it has no fraction
equivalent. If you try to express it in a decimal form you
will get an endless stream of digits that have no repeating
pattern.
---------------
Rational numbers are different: although 1/3 has an endless
stream of digits, it has a repeating pattern !/3 = 0.333333333.....
------------------------
Every rational p/q number has a repeating repeating pattern
that is no longer than q-1. Why? because you would run
out of unique remainders after q-1 divisions:
Try it with 1/11 = = 0.0909090909...
or 1/23 = 0.0434782609.... Try to see when it begins repeating.
=========================
Cheers,
Stan H.

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