document.write( "Question 234208: I can't figure out the Square Root of 175. Please help. \n" ); document.write( "
Algebra.Com's Answer #172725 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "It depends. Do you just want a numerical approximation or do you want the exact answer in simplest terms?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For a numerical approximation, enter 175 into your calculator then press the square root key. Round to an appropriate level of precision.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For an exact answer in simplest terms, first determine the prime factorization of your radicand.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "175 is odd, therefore not divisible by 2:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1+7+5=13, 13 not divisible by 3, so 175 is not divisible by 3:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "175 ends in 5, so 175 is divisible by 5. 175 divided by 5 = 35:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "35 is 7 times 5, so the prime factorization of 175 is 5 times 5 times 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are a pair of 5s in the prime factorization. Take one five out of the radicand and toss the other one, leaving you with:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |