document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87859>Question 87859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify square root of 75a^2<BR>\n" );
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document.write( "square root of 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63728 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2875%2Aa%5E2%29%2Fsqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%2875%2Aa%5E2%29%2Fsqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Lets simplify the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2875%2Aa%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2875%2Aa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%2A3%2Aa%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%2A3%2Aa%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75 ALIGN=MIDDLE  ALT=\"75\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2A3 ALIGN=MIDDLE  ALT=\"25%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%29%2Asqrt%283%29%2Asqrt%28a%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%29%2Asqrt%283%29%2Asqrt%28a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square roots using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%283%29%2Asqrt%28a%5E2%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%283%29%2Asqrt%28a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of the perfect square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 5 <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%283%29%2Aa ALIGN=MIDDLE  ALT=\"5%2Asqrt%283%29%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of the perfect squares and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2 ALIGN=MIDDLE  ALT=\"a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%283%29%2Aa%5E1 ALIGN=MIDDLE  ALT=\"5%2Asqrt%283%29%2Aa%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the common terms \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aa%5E1%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"5%2Aa%5E1%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aa%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"5%2Aa%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group the square root terms \r<BR>\n" );
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document.write( "So the expression simplifies to \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aa%2Asqrt%283%29%2Fsqrt%285%29 ALIGN=MIDDLE  ALT=\"5%2Aa%2Asqrt%283%29%2Fsqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which could also look like this\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aa%2Asqrt%283%2F5%29 ALIGN=MIDDLE  ALT=\"5%2Aa%2Asqrt%283%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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