document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018059>Question 1018059</A>: <I><SPAN STYLE=\"word-break: break-all;\">  how shall i find the square root of 289<BR>\n" );
document.write( " without using calculator? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634217 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=634217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What squares do you know or can you find near 289?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2820%5E2=400%2C14%5E2=196%2C15%5E2=3%5E3%2A5%5E2=9%2A25=225%29 ALIGN=MIDDLE  ALT=\"system%2820%5E2=400%2C14%5E2=196%2C15%5E2=3%5E3%2A5%5E2=9%2A25=225%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Look at squares between  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%5E2 ALIGN=MIDDLE  ALT=\"15%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%5E2 ALIGN=MIDDLE  ALT=\"20%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Maybe try  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B15%29%28x%2B15%29=289 ALIGN=MIDDLE  ALT=\"%28x%2B15%29%28x%2B15%29=289\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B30x%2B225=289 ALIGN=MIDDLE  ALT=\"x%5E2%2B30x%2B225=289\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B30x%2B225-289=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B30x%2B225-289=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B30x-64=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B30x-64=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One factorization of 64 is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2A4 ALIGN=MIDDLE  ALT=\"16%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and another is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%2A2 ALIGN=MIDDLE  ALT=\"32%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This last one looks like it can work.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B30x-64=%28x-2%29%28x%2B32%29=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B30x-64=%28x-2%29%28x%2B32%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Either x=2  OR  x=-32.\r<BR>\n" );
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document.write( "The number can be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2=15%2B2=17 ALIGN=MIDDLE  ALT=\"x%2B2=15%2B2=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Try checking the square of 17...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2817%2A17=289%29 ALIGN=MIDDLE  ALT=\"highlight%2817%2A17=289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "x=-32 may also work.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15-32=-17 ALIGN=MIDDLE  ALT=\"15-32=-17\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you easily find  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-17%29%2A%28-17%29=%281%29%2A17%5E2=289 ALIGN=MIDDLE  ALT=\"%28-17%29%2A%28-17%29=%281%29%2A17%5E2=289\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28sqrt%28289%29=0%2B-+17%29 ALIGN=MIDDLE  ALT=\"highlight%28sqrt%28289%29=0%2B-+17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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