document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210437>Question 210437</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Intoductery Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me rationalize the denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816a%5E4b%5E6%29%2Fsqrt%28128a%5E6b%5E6%29 ALIGN=MIDDLE  ALT=\"sqrt%2816a%5E4b%5E6%29%2Fsqrt%28128a%5E6b%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159018 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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/cgi-bin/show-face.mpl?user=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Multiply thet top and bottom by the given denominator.\r<BR>\n" );
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document.write( "The numerator becomes sqrt{2048a^10b^12}.\r<BR>\n" );
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document.write( "The denominator simply comes out of the radicand or 128a^6b^6.\r<BR>\n" );
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document.write( "We now need to simplify the numerator.\r<BR>\n" );
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document.write( "So, sqrt{2048a^10b^12} = sqrt{64}*sqrt{2}*sqrt{4}*a^5*b^3.\r<BR>\n" );
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document.write( "We need to continue breaking down the numerator.\r<BR>\n" );
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document.write( "Then sqrt{64}*sqrt{2}*sqrt{4}*a^5*b^3 = 16*a^5*b^3*sqrt{2}.\r<BR>\n" );
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document.write( "Our fraction now looks like this:\r<BR>\n" );
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document.write( "[16*a^5*b^3*sqrt{2}]/128a^6b^6\r<BR>\n" );
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document.write( "We now simplify the fraction a bit more to get:\r<BR>\n" );
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document.write( "sqrt{2}/8ab^3\r<BR>\n" );
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document.write( "Is this clear?<BR>\n" );
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