document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31468>Question 31468</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The arithmetic mean of two numbers x and y is the unmber x+y/2.  If x and y are rational numbers, what can you conclude about their arithmetc mean?<BR>\n" );
document.write( "The geometric mean of two positive number x and y is the number  squared xy.  If x and y are positive rational numbers, can you conclude that their geometric mean is also rational?  Explain </SPAN>\n" );
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document.write( "The arithmetic mean of two numbers x and y is the unmber x+y/2.<BR>\n" );
document.write( "NO..IT IS (X+Y)/2........................<BR>\n" );
document.write( " If x and y are rational numbers, what can you conclude about their arithmetc mean?<BR>\n" );
document.write( "A.M. WILL ALSO BE RATIONAL AS SUM OF 2 RATIONAL NUMBERS IS RATIONAL AND THEIR DIVISION BY 2 WILL NOT CHANGE THEIR NATURE.<BR>\n" );
document.write( "The geometric mean of two positive number x and y is the number squared xy.<BR>\n" );
document.write( "NO..IT IS SQUARE ROOT OF THEIR PRODUCT (XY) = (X*Y)^0.5<BR>\n" );
document.write( " If x and y are positive rational numbers, can you conclude that their geometric mean is also rational? Explain<BR>\n" );
document.write( "NO.SINCE THIS INVOLVES SQUARE ROOT,IT COULD BE IRRATIONAL .SUPPOSE X=2 AND Y=1...THEIR G.M. IS SQRT.(2*1)=SQRT.(2)WHICH IS IRRATIONAL </SPAN>\n" );
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