document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95447>Question 95447</A>: <I><SPAN STYLE=\"word-break: break-all;\">  find out 3 irrational numbers between 5/7 and 9/11/ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69468 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find out 3 irrational numbers between 5/7 and 9/11<BR>\n" );
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document.write( "5/7 < 9/11<BR>\n" );
document.write( "Square both to get<BR>\n" );
document.write( "(25/49) < (81/121)<BR>\n" );
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document.write( "Least common multiple of the fraction denominators is 81*121 because they<BR>\n" );
document.write( "share no factors.<BR>\n" );
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document.write( "Rewrite the fractions as <BR>\n" );
document.write( "((25*121)/(49/121)) < (81*49)/(81*49))<BR>\n" );
document.write( "Simplify to get:<BR>\n" );
document.write( "3025/5929 < 3969/5929<BR>\n" );
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document.write( "pick some numbers between 3025 and 3969<BR>\n" );
document.write( "like 3127, 3255, 3659<BR>\n" );
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document.write( "Form the fractions: 3127/5929, 3255/5929, 3659/5929<BR>\n" );
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document.write( "Take the square root of each:<BR>\n" );
document.write( "sqrt[3127/5929], sqrt[3255/5929], sqrt[3659/5929]<BR>\n" );
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document.write( "Each of these will be irrational numbers between 5/7 and 9/11<BR>\n" );
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document.write( "Check any one of them and you will see what I mean.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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