Question 135818
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.
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Rational numbers are different: although 1/3 has an endless 
stream of digits, it has a repeating pattern !/3 = 0.333333333.....
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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.
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Cheers,
Stan H.