document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108372>Question 108372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am suppose to simplify quotients containing radicals by rationalizing the denominator.<BR>\n" );
document.write( "Problem: 30 over square root of 18<BR>\n" );
document.write( "problem: 9 over 2 square root 45<BR>\n" );
document.write( "Problem: 3 square root 6 over square root 2\r<BR>\n" );
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document.write( "please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79047 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=79047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify quotients containing radicals by rationalizing the denominator.<BR>\n" );
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document.write( "We multiply each expression by the denominator over itself (same as 1)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2Fsqrt%2818%29 ALIGN=MIDDLE  ALT=\"30%2Fsqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2818%29%2Fsqrt%2818%29 ALIGN=MIDDLE  ALT=\"sqrt%2818%29%2Fsqrt%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30sqrt%2818%29%2F18 ALIGN=MIDDLE  ALT=\"30sqrt%2818%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can extract a square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30sqrt%289%2A2%29%2F18 ALIGN=MIDDLE  ALT=\"30sqrt%289%2A2%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2A3sqrt%282%29%2F18 ALIGN=MIDDLE  ALT=\"30%2A3sqrt%282%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90sqrt%282%29%2F18 ALIGN=MIDDLE  ALT=\"90sqrt%282%29%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "18 cancels into 90<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5sqrt%282%29 ALIGN=MIDDLE  ALT=\"5sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the simplified answer<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F2sqrt%2845%29 ALIGN=MIDDLE  ALT=\"9%2F2sqrt%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2845%29%2Fsqrt%2845%29 ALIGN=MIDDLE  ALT=\"sqrt%2845%29%2Fsqrt%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Asqrt%2845%29%2F2%2845%29 ALIGN=MIDDLE  ALT=\"9%2Asqrt%2845%29%2F2%2845%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Asqrt%289%2A5%29%2F90 ALIGN=MIDDLE  ALT=\"9%2Asqrt%289%2A5%29%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A3sqrt%285%29%2F90 ALIGN=MIDDLE  ALT=\"9%2A3sqrt%285%29%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27sqrt%285%29%2F90 ALIGN=MIDDLE  ALT=\"27sqrt%285%29%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Reduce the fraction divide by 9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%285%29%2F10 ALIGN=MIDDLE  ALT=\"3sqrt%285%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%286%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"3sqrt%286%29%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%2812%29%2F2 ALIGN=MIDDLE  ALT=\"3sqrt%2812%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%284%2A3%29%2F2 ALIGN=MIDDLE  ALT=\"3sqrt%284%2A3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A2sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"3%2A2sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel out 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%283%29 ALIGN=MIDDLE  ALT=\"3sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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