document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059695>Question 1059695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, looking for some help with this problem.\r<BR>\n" );
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document.write( "5sqrt3(2sqrt15+sqrt8) \r<BR>\n" );
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document.write( "Thanks!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674752 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=674752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> looks to me like you have:\r<BR>\n" );
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document.write( "5 * sqrt(3) * (2 * sqrt(15) + sqrt(8))\r<BR>\n" );
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document.write( "you would use the distributive law to get:\r<BR>\n" );
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document.write( "(5 * sqrt(3) * 2 * sqrt(15)) + (5 * sqrt(3) * sqrt(8))\r<BR>\n" );
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document.write( "5 * sqrt(3) * 2 * sqrt(15) is the same as:<BR>\n" );
document.write( "5 * 2 * sqrt(3) * sqrt(15) which is the same as:<BR>\n" );
document.write( "10 * sqrt(3 * 15) which is the same as:<BR>\n" );
document.write( "10 * sqrt(45) which is the same as:<BR>\n" );
document.write( "10 * sqrt(9 * 5) which is the same as:<BR>\n" );
document.write( "10 * sqrt(9) * sqrt(5) which is the same as:<BR>\n" );
document.write( "10 * 3 * sqrt(5) which is the same as:<BR>\n" );
document.write( "30 * sqrt(5)\r<BR>\n" );
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document.write( "5 * sqrt(3) * sqrt(8) is the same as:<BR>\n" );
document.write( "5 * sqrt(24) which is the same as:<BR>\n" );
document.write( "5 * sqrt(6 * 4) which is the same as:<BR>\n" );
document.write( "5 * sqrt(6) * sqrt(4) which is the same as:<BR>\n" );
document.write( "5 * sqrt(6) * 2 which is the same as:<BR>\n" );
document.write( "5 * 2 * sqrt(6) which is the same as:<BR>\n" );
document.write( "10 * sqrt(6)\r<BR>\n" );
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document.write( "your expression of:\r<BR>\n" );
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document.write( "(5 * sqrt(3) * 2 * sqrt(15)) + (5 * sqrt(3) * sqrt(8)) becomes:\r<BR>\n" );
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document.write( "30 * sqrt(5) + 10 * sqrt(6)\r<BR>\n" );
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document.write( "you can evaluate your original expression and your final expression and you will see that they both come up with the same value.\r<BR>\n" );
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document.write( "this indicates the simplification process was done correctly.\r<BR>\n" );
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document.write( "i did that and got 91.57693675 for both the original expression and the final expressions, which indicates that i did it correctly.\r<BR>\n" );
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document.write( "you could factor out a 10 and get 10 * (3 * sqrt(5) + sqrt(6)), but i don't think that would be the simplified answer.\r<BR>\n" );
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document.write( "i believe the simplified answer is 30 * sqrt(5) + 10 * sqrt(6).\r<BR>\n" );
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