document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=398060>Question 398060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the simplified expression of 3 + the square root of 7 divided by 2 minus the square root of 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #282059 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=282059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the simplified expression of 3 + the square root of 7 divided by 2 minus the square root of 10\r<BR>\n" );
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document.write( "The general rule is that you don't want to leave a radical in the denominator. This is called rationalizing the denominator.\r<BR>\n" );
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document.write( "To rationalize the given expression, multiply numerator and denominator by the conjugate off the denominator, then simplify.\r<BR>\n" );
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document.write( "(3+sqrt(7))/(2-sqrt(10))*2+sqrt(10)/(2+sqrt(10)<BR>\n" );
document.write( "(3+sqrt(7))(2+sqrt(10))/(2-sqrt(10))(2+sqrt(10))<BR>\n" );
document.write( "6+3sqrt(10)+2sqrt(7)+sqrt(70)/4-10 (difference of squares)\r<BR>\n" );
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document.write( "ans:6+3sqrt(10)+2sqrt(7)+sqrt(70)/-6 </SPAN>\n" );
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