document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64835>Question 64835</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> please help to simplify :\r<BR>\n" );
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document.write( "3 times the square root of 3/7 - 2 times the square root of 7/3 - the square root of 189\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45538 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=45538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To Simplify:\r<BR>\n" );
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document.write( "3sqrt(3/7)-2sqrt(7/3)-sqrt(189) First, lets rewrite sqrt (189)<BR>\n" );
document.write( "sqrt(189)=sqrt((9)(21))=<BR>\n" );
document.write( "3sqrt(21)\r<BR>\n" );
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document.write( "so we now have:\r<BR>\n" );
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document.write( "3sqrt(3/7)-2sqrt(7/3)-3sqrt(21)  \r<BR>\n" );
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document.write( "Looks like the lowest common multiple (LCM) for 3 and 7 is 21. (LCM is the smallest number that both 3 and 7 divides evenly into.)\r<BR>\n" );
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document.write( "Now we will multiply every term by sqrt(21/21).  This will eventually give us a common denominator.\r<BR>\n" );
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document.write( "(3sqrt(3/7))(sqrt(21/21))-(2sqrt(7/3))(sqrt(21/21))-3sqrt(21)(sqrt(21/21)) simplifying, we get:\r<BR>\n" );
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document.write( "((3)(3))/sqrt(21)-((2)(7))/sqrt(21)-((3)(21))/sqrt(21) simplifying further:\r<BR>\n" );
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document.write( "(9-14-63)/sqrt(21)=<BR>\n" );
document.write( "-68/sqrt(21) once more, we will multiply by the sqrt(21/21)) and we get:\r<BR>\n" );
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document.write( "(-68sqrt(21))/21\r<BR>\n" );
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document.write( "You can check this answer using a calculator.\r<BR>\n" );
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document.write( "Hope this helps.  Happy holidays-----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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