document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238194>Question 238194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write each of the following square roots in the form a&#8730;b, where a and b are integers and b has the least value possible. For example, &#8730;180=6&#8730;5.\r<BR>\n" );
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document.write( "1. &#8730;360<BR>\n" );
document.write( "2. &#8730;40<BR>\n" );
document.write( "3. &#8730;240\r<BR>\n" );
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document.write( "Please, please help! 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 #175034 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=175034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "The process needed is to complete the prime factorization of the radicand.\r<BR>\n" );
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document.write( "360, even so divisible by 2<BR>\n" );
document.write( "180, even so divisible by 2<BR>\n" );
document.write( "90, even so divisible by 2<BR>\n" );
document.write( "45, not even, but digits sum to 9 which is divisible by 3, so is divisible by 3<BR>\n" );
document.write( "15, digits sum to 6, so divisible by 3<BR>\n" );
document.write( "5, prime.\r<BR>\n" );
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document.write( "Prime factors are 2, 2, 2, 3, 3, 5.  Take out one pair of 2s and one pair of 3s leaving a 2 and a 5.  2 times 3 is 6 and 2 times 5 is 10 so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sqrt{360}\ =\ \sqrt{36\,\cdot\,10}\ =\ \sqrt{36}\,\cdot\,\sqrt{10}\ =\ 6\sqrt{10}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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