document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887208>Question 887208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is radical50 plus radical 10? Please show steps :-) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536461 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=536461\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe you mean simplify the expression.\r<BR>\n" );
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document.write( "start with sqrt(50) + sqrt(10)\r<BR>\n" );
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document.write( "since 10 = 2 * 5 and 50 = 5 * 10 = 5 * 2 * 5, your expression becomes:\r<BR>\n" );
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document.write( "sqrt(5 * 2 * 5) + sqrt(2 * 5) which becomes:\r<BR>\n" );
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document.write( "sqrt(5^2 * 2) + sqrt(2 * 5) which becomes:\r<BR>\n" );
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document.write( "sqrt(5^2) * sqrt(2) + sqrt(2) * sqrt(5) which becomes:\r<BR>\n" );
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document.write( "5 * sqrt(2) + sqrt(2) * sqrt(5).\r<BR>\n" );
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document.write( "factor out the common term of sqrt(2) and you get:\r<BR>\n" );
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document.write( "sqrt(2) * (5 + sqrt(5)\r<BR>\n" );
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document.write( "confirm by evaluating sqrt(50) + sqrt(10) and comparing it to the evaluation of sqrt(2) * (5 + sqrt(5)) to see if you get the same answer from both.\r<BR>\n" );
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document.write( "sqrt(50) + sqrt(10) = 10.23334547\r<BR>\n" );
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document.write( "sqrt(2) * (5 + sqrt(5)) = 10.23334547\r<BR>\n" );
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document.write( "they're the same so the simplification problem is successful.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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