document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=596807>Question 596807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bsqrt%283%29%29%2A%282-sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%282%2Bsqrt%283%29%29%2A%282-sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377945 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=377945\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bsqrt%283%29%29%2A%282-sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%282%2Bsqrt%283%29%29%2A%282-sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Hi, there--<BR>\n" );
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document.write( "We use the distributive property (of multiplication over addition) is solve this.  You are multiplying two expressions together. Each expression has two terms.<BR>\n" );
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document.write( "First, distribute the 2 in the first expression over each term in the second expression. Then multiply the square root of 3 is the first expression by each term in the second expression.<BR>\n" );
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document.write( "You will end up with four one-term expressions added together.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A2%29%2B%282%2A%28-sqrt%283%29%29%29%2B%28%28sqrt%283%29%29%2A%282%29%29%2B%28%28sqrt%283%29%29%28-sqrt%283%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now, we simplify. <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B+%282%2Asqrt%283%29%29%2B%28%28-2%29%2Asqrt%283%29%29-3 ALIGN=MIDDLE  ALT=\"4%2B+%282%2Asqrt%283%29%29%2B%28%28-2%29%2Asqrt%283%29%29-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice that a positive square root of 3 times a negative square root of 3 is a negative square root of 9 which is -3.<BR>\n" );
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document.write( "Combine terms. Notice that the second and third terms cancel out because they are the same value (two times the square root of 3), but opposite signs. <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-3 ALIGN=MIDDLE  ALT=\"4-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "That's it! There are a few complicated algebra moves were. Feel free to email at the address below if you're not quite sure what I did.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com\r<BR>\n" );
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document.write( " \r<BR>\n" );
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