document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295174>Question 295174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The root of a perfect square can be what? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212756 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=212756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An integer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4 is a perfect square because:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "square root of 4 = 2 is an integer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "square root of 4 = -2 is also an integer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "One of the easiest ways to determine if a number is a perfect square is to find all the integer factors of the number and determine if one of the factors is the same number multiplied by the same number.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "An example would be:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Determine if 36 is a perfect square.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The factors of 36 are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1*36 = 36<BR>\n" );
document.write( "2 * 18 = 36<BR>\n" );
document.write( "3 * 12 = 36<BR>\n" );
document.write( "4 * 9 = 36<BR>\n" );
document.write( "6 * 6 = 36 *****\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "***** This is the square root of 36 because 6*6 = 36.   \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since 6 is an integer, then 36 is a perfect square.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Another example would be\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Determine if 8 is a perfect square.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1*8 = 8<BR>\n" );
document.write( "2*4 = 8<BR>\n" );
document.write( "4*2 = 8<BR>\n" );
document.write( "8*1 = 8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There is no whole number that, when multiplied by itself, equals 8, therefore 8 is not a perfect square.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );