document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216467>Question 216467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i'm confused as to how : the square root of (1/81)+(1/144) equates to the square root of 25/1296. is there something i'm missing? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163443 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=163443\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simply add the two fractions:\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=fractions_solver.solver>Fractions Solver</A></TD></TR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F81%2B1%2F144 ALIGN=MIDDLE  ALT=\"1%2F81%2B1%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression<BR>\n" );
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document.write( "  In order to add these two fractions, these fractions need to have a common denominator.<BR>\n" );
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document.write( "  In order to do that, we simply find that the LCM of 81 and 144 is 1296 (note: if you need help with finding the LCM, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)<BR>\n" );
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document.write( "  Now we need to get each denominator to 1296<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%2F16%29%281%2F81%29%2B1%2F144 ALIGN=MIDDLE  ALT=\"%2816%2F16%29%281%2F81%29%2B1%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F81 ALIGN=MIDDLE  ALT=\"1%2F81\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%2F16%29 ALIGN=MIDDLE  ALT=\"%2816%2F16%29\"   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=16%2F1296%2B1%2F144 ALIGN=MIDDLE  ALT=\"16%2F1296%2B1%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F81 ALIGN=MIDDLE  ALT=\"1%2F81\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%2F16%29 ALIGN=MIDDLE  ALT=\"%2816%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2F1296 ALIGN=MIDDLE  ALT=\"16%2F1296\"   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=16%2F1296%2B%289%2F9%29%281%2F144%29 ALIGN=MIDDLE  ALT=\"16%2F1296%2B%289%2F9%29%281%2F144%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F144 ALIGN=MIDDLE  ALT=\"1%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F9%29 ALIGN=MIDDLE  ALT=\"%289%2F9%29\"   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=16%2F1296%2B9%2F1296 ALIGN=MIDDLE  ALT=\"16%2F1296%2B9%2F1296\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F144 ALIGN=MIDDLE  ALT=\"1%2F144\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F9%29 ALIGN=MIDDLE  ALT=\"%289%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F1296 ALIGN=MIDDLE  ALT=\"9%2F1296\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  Since both fractions have a common denominator of 1296, we can now combine the fractions<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%2B9%29%2F1296 ALIGN=MIDDLE  ALT=\"%2816%2B9%29%2F1296\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F1296 ALIGN=MIDDLE  ALT=\"25%2F1296\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Add the numerators<BR>\n" );
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document.write( "  So<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F81%2B1%2F144=25%2F1296 ALIGN=MIDDLE  ALT=\"1%2F81%2B1%2F144=25%2F1296\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F81%2B1%2F144=25%2F1296 ALIGN=MIDDLE  ALT=\"1%2F81%2B1%2F144=25%2F1296\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%2F81%2B1%2F144%29=sqrt%2825%2F1296%29 ALIGN=MIDDLE  ALT=\"sqrt%281%2F81%2B1%2F144%29=sqrt%2825%2F1296%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can take this even further by saying: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%2F1296%29=sqrt%2825%29%2Fsqrt%281296%29=5%2F36 ALIGN=MIDDLE  ALT=\"sqrt%2825%2F1296%29=sqrt%2825%29%2Fsqrt%281296%29=5%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%2F81%2B1%2F144%29=5%2F36 ALIGN=MIDDLE  ALT=\"sqrt%281%2F81%2B1%2F144%29=5%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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