document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152514>Question 1152514</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the square root of 32-6√15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774543 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Consider this calculation:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28a%29%2Bsqrt%28b%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28a%29%2Bsqrt%28b%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%2B2sqrt%28ab%29 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%2B2sqrt%28ab%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So if you have an expression in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%2B2sqrt%28ab%29 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%2B2sqrt%28ab%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then its square root is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%29%2Bsqrt%28b%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%29%2Bsqrt%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "To find the square root of the given expression, you need to put it in exactly that form -- specifically, you need the radical part to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28ab%29 ALIGN=MIDDLE  ALT=\"2sqrt%28ab%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2832-6sqrt%2815%29%29+=+sqrt%2832-2%2A%283sqrt%2815%29%29%29+=+sqrt%2832-2sqrt%28135%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And then the task is to find the numbers a and b for which a+b=32 and ab=135.<br><BR>\n" );
document.write( "Those numbers are 27 and 5, so<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2832-6sqrt%2815%29%29+=+sqrt%2827%29-sqrt%285%29+=+3sqrt%283%29-sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%2832-6sqrt%2815%29%29+=+sqrt%2827%29-sqrt%285%29+=+3sqrt%283%29-sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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