document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=297621>Question 297621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the smallest positive integer which multiplied by 40 gives a perfect square?\r<BR>\n" );
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document.write( "(A) 2 (B) 5 (C) 20 (D) 40 (E) None of these </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214275 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=214275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A perfect square is an integer that is the result of the squaring of another integer.\r<BR>\n" );
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document.write( "25 would be a perfect square because it is the result of 5*5\r<BR>\n" );
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document.write( "169 would be a perfect square because it is the result of 13*13\r<BR>\n" );
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document.write( "the factors of the perfect square can be positive or negative.\r<BR>\n" );
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document.write( "Example\r<BR>\n" );
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document.write( "5*5 = 25\r<BR>\n" );
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document.write( "(-5)*(-5) = 25\r<BR>\n" );
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document.write( "Both 5 and -5 are square roots of the perfect square of 25.\r<BR>\n" );
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document.write( "In your problem:\r<BR>\n" );
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document.write( "square root of (2*40) = square root of 80 = 8.94427191 (not an integer)\r<BR>\n" );
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document.write( "square root of (5*40) = square root of 200 = 14.14213562 (not an integer)\r<BR>\n" );
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document.write( "square root of (20*40) = square root of 800 = 28.28427125 (not an integer)\r<BR>\n" );
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document.write( "square root of (40*40) = square root of 1600 = 40 (this is the perfect square)\r<BR>\n" );
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document.write( "Answer is selection D.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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