document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104114>Question 1104114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The radical <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%2882+%2B+sqrt+%283360%29%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%2882+%2B+sqrt+%283360%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be expressed as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28a%29+%2B+sqrt+%28b%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28a%29+%2B+sqrt+%28b%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where a < b. What is the product ab? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718863 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=718863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <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+=+a%2Bb%2B2%2Asqrt%28ab%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28a%29%2Bsqrt%28b%29%29%5E2+=+a%2Bb%2B2%2Asqrt%28ab%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2882%2Bsqrt%283360%29%29+=+sqrt%28a%29%2Bsqrt%28b%29 ALIGN=MIDDLE  ALT=\"sqrt%2882%2Bsqrt%283360%29%29+=+sqrt%28a%29%2Bsqrt%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "we must have<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb=82 ALIGN=MIDDLE  ALT=\"a%2Bb=82\"   DISABLED_style= \"max-width:90%; height:auto;\" > (1) and<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%28ab%29+=+sqrt%283360%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%28ab%29+=+sqrt%283360%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28ab%29+=+sqrt%28840%29 ALIGN=MIDDLE  ALT=\"sqrt%28ab%29+=+sqrt%28840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab+=+840 ALIGN=MIDDLE  ALT=\"ab+=+840\"   DISABLED_style= \"max-width:90%; height:auto;\" > (2)<br><BR>\n" );
document.write( "Since the problem only asked us to find the product ab, we are done.<br><BR>\n" );
document.write( "We could go ahead and find the values of a and b by solving the pair of equations (1) and (2), using trial and error, or a graphing calculator, or algebra using either factoring or the quadratic formula; those values are 70 and 12.<br><BR>\n" );
document.write( "So while the problem didn't ask us to evaluate the square root,<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2882%2Bsqrt%283360%29%29+=+sqrt%2812%29%2Bsqrt%2870%29 ALIGN=MIDDLE  ALT=\"sqrt%2882%2Bsqrt%283360%29%29+=+sqrt%2812%29%2Bsqrt%2870%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );