document.write( "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..? \n" ); document.write( "
Algebra.Com's Answer #99510 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! sqrt(7) is an irrational number which means it has no fraction \n" ); document.write( "equivalent. If you try to express it in a decimal form you \n" ); document.write( "will get an endless stream of digits that have no repeating \n" ); document.write( "pattern. \n" ); document.write( "--------------- \n" ); document.write( "Rational numbers are different: although 1/3 has an endless \n" ); document.write( "stream of digits, it has a repeating pattern !/3 = 0.333333333..... \n" ); document.write( "------------------------ \n" ); document.write( "Every rational p/q number has a repeating repeating pattern \n" ); document.write( "that is no longer than q-1. Why? because you would run \n" ); document.write( "out of unique remainders after q-1 divisions: \n" ); document.write( "Try it with 1/11 = = 0.0909090909... \n" ); document.write( "or 1/23 = 0.0434782609.... Try to see when it begins repeating. \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |