document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127528>Question 127528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the square root of <BR>\n" );
document.write( "a^2-10a+25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93460 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=93460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+10a+%2B+25 ALIGN=MIDDLE  ALT=\"a%5E2+-+10a+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "You can tell this is a perfect square trinomial by dividing the multiplier of the \"a\" term<BR>\n" );
document.write( "by 2 and then squaring it. If the answer is +25 then the given trinomial is a perfect square.<BR>\n" );
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document.write( "In this problem you divide the -10 by 2 to get -5 and when you square -5 you get +25 ... just<BR>\n" );
document.write( "as the problem already has. So the given trinomial is a perfect square. <BR>\n" );
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document.write( "And the two factors will have half of -10 as their numerical part. <BR>\n" );
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document.write( "So we can write:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+-+10a+%2B+25+=+%28a+-5%29%2A%28a+-+5%29+=+%28a-5%29%5E2 ALIGN=MIDDLE  ALT=\"a%5E2+-+10a+%2B+25+=+%28a+-5%29%2A%28a+-+5%29+=+%28a-5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Therefore, the square root of the given trinomial is the square root of:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a+-+5%29%5E2 ALIGN=MIDDLE  ALT=\"%28a+-+5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and when you take the square root of this quantity, the answer is just:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+-+5 ALIGN=MIDDLE  ALT=\"a+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "That's the answer to your problem. Hope this helps you to see a way to get this answer.<BR>\n" );
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