document.write( "Question 193024: how to mark root 2 on number line \n" ); document.write( "
Algebra.Com's Answer #144880 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! it depends on the resolution (scale) of the number line\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can always find two points on the line that the value of \"root 2\" is between\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1^2 is 1, and 2^2 is 4 ___ so the value is between 1 and 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.5^2 is 2.25 ___ so the value is between 1 and 1.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.4^2 is 1.96 ___ so the value is between 1.4 and 1.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.42^2 is 2.0164 ___ so the value is between 1.4 and 1.42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can keep doing this \"approximation\" (by adding more decimal places) until you get the accuracy you want \n" ); document.write( " |