document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411591>Question 411591</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.\r<BR>\n" );
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document.write( "These are all square roots.\r<BR>\n" );
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document.write( " 360<BR>\n" );
document.write( " 40<BR>\n" );
document.write( " 240\r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289288 by </B><A HREF=/tutors/aboutme.mpl?userid=jjordan95><B>jjordan95(63)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jjordan95><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=jjordan95><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289288\">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=sqrt%28360%29 ALIGN=MIDDLE  ALT=\"sqrt%28360%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First thing you need to do is a prime factorization of the inside term.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360+=+36%2A10+=+6%2A6%2A10+=+6%2A6%2A2%2A5 ALIGN=MIDDLE  ALT=\"360+=+36%2A10+=+6%2A6%2A10+=+6%2A6%2A2%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  I realize that 6 is not a prime number, however, since it comes up an even number of times in the factorization, there is no reason to factor it further.  Since 6 came up twice, you can move one outside of the square root sign and cross the other one out.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6sqrt%282%2A5%29 ALIGN=MIDDLE  ALT=\"6sqrt%282%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Since there are no other numbers that come up more than once, you are done.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%286sqrt%2810%29%29 ALIGN=MIDDLE  ALT=\"highlight%286sqrt%2810%29%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=sqrt%2840%29 ALIGN=MIDDLE  ALT=\"sqrt%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40+=+10%2A4+=+2+%2A+5+%2A+2+%2A+2 ALIGN=MIDDLE  ALT=\"40+=+10%2A4+=+2+%2A+5+%2A+2+%2A+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore, you can move 1 of the 2's outside, and cross one of them out.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282sqrt%2810%29%29 ALIGN=MIDDLE  ALT=\"highlight%282sqrt%2810%29%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=sqrt%28240%29 ALIGN=MIDDLE  ALT=\"sqrt%28240%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240+=+6%2A+40+=+2+%2A+3+%2A+10+%2A+4+=+2+%2A+3+%2A+2+%2A+5+%2A+2+%2A+2 ALIGN=MIDDLE  ALT=\"240+=+6%2A+40+=+2+%2A+3+%2A+10+%2A+4+=+2+%2A+3+%2A+2+%2A+5+%2A+2+%2A+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore you can take two 2's out and cross the other two out.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284sqrt%2815%29%29 ALIGN=MIDDLE  ALT=\"highlight%284sqrt%2815%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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