document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=938361>Question 938361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this( To me, Complicated question) ! Your detailed explanation are very much appreciated! :D :<BR>\n" );
document.write( "Given that 441=3^2x7^2 and 1005=3x5x67, Find the smallest possible whole number K for which<BR>\n" );
document.write( "A) 1005k x 441 is a perfect square<BR>\n" );
document.write( "B) 1005 X 441K is a perfect cube\r<BR>\n" );
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document.write( "My working: <BR>\n" );
document.write( "a) (3 x 5 x 67)k x (3^2x7^2) = (3x3 ^2x7^2x5x67)k<BR>\n" );
document.write( "                                            =(3^3 x 7^2x5x67) k\r<BR>\n" );
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document.write( "And then I'm stuck...... Please hhelp as soon as possible!! Keep on thinking hard but still cant solve D:\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571630 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=571630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1005k%2A441=3%2A5%2A67%2Ak%2A3%5E2%2A7%5E2=3%5E3%2A5%2A67%2Ak ALIGN=MIDDLE  ALT=\"1005k%2A441=3%2A5%2A67%2Ak%2A3%5E2%2A7%5E2=3%5E3%2A5%2A67%2Ak\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For it to be a perfect square, all the factors need to have a exponent that is a multiple of 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=3%2A5%2A67 ALIGN=MIDDLE  ALT=\"k=3%2A5%2A67\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1005 ALIGN=MIDDLE  ALT=\"k=1005\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "For the factors to be cubed, the exponents must be multiples of 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1005k%2A441=3%2A5%2A67%2Ak%2A3%5E2%2A7%5E2=3%5E3%2A5%2A7%5E2%2A67%2Ak ALIGN=MIDDLE  ALT=\"1005k%2A441=3%2A5%2A67%2Ak%2A3%5E2%2A7%5E2=3%5E3%2A5%2A7%5E2%2A67%2Ak\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3 is already a multiple.<BR>\n" );
document.write( "5 needs <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2 ALIGN=MIDDLE  ALT=\"5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "7 needs <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7 ALIGN=MIDDLE  ALT=\"7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "67 needs <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=67%5E2 ALIGN=MIDDLE  ALT=\"67%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=5%5E2%2A7%2A67%5E2 ALIGN=MIDDLE  ALT=\"k=5%5E2%2A7%2A67%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=785575 ALIGN=MIDDLE  ALT=\"k=785575\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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