document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209035>Question 1209035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the smallest positive integer n such that \sqrt[4]{675 + n} is an integer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847603 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=847603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "We want <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C675%2Bn%29 ALIGN=MIDDLE  ALT=\"root%284%2C675%2Bn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to be an integer.<br><BR>\n" );
document.write( "5^4 = 625, which is less than 675.<br><BR>\n" );
document.write( "6^4 = 1296, which is greater than 675.<br><BR>\n" );
document.write( "675+n = 1296<BR>\n" );
document.write( "n = 1296-675 = 621<br><BR>\n" );
document.write( "ANSWER: 621<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );