document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083068>Question 1083068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In order to triple the area of a square, the new side lengths must be equal to the old side lengths multiplied by:\r<BR>\n" );
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document.write( "F) Square root of 3.<BR>\n" );
document.write( "G) 3<BR>\n" );
document.write( "H) 9<BR>\n" );
document.write( "J) Square root of 27.<BR>\n" );
document.write( "K)27\r<BR>\n" );
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document.write( "I selected \"9\", but the answer is \"F\", the square root of 3.\r<BR>\n" );
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document.write( "This is an SAT practice question. I am trying to figure how the answer is F. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697064 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=697064\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "First, let's begin with the reason the answer is most assuredly not 9.\r<BR>\n" );
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document.write( "The area of a square is given by the square of the measure of one side, that is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A\ =\ s^2\">\r<BR>\n" );
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document.write( "So if you made the side of the new square 9 times the side of the old square, the new area would be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A_{huge}\ =\ (9x)^2\ =\ 81s^2\">\r<BR>\n" );
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document.write( "81 times more area than the original\r<BR>\n" );
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document.write( "But if we want the area to only be 3 times the original area, that is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A_{3X}\ =\ 3s^2\">\r<BR>\n" );
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document.write( "To find the measure of the side that would give this result, we take the square root of the area:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ s_{3X}\ =\ \sqrt{3s^2}\ =\ s\sqrt{3}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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