document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534443>Question 534443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> change to simplest radical form:<BR>\n" );
document.write( "square root of (a + 3) divided by 2+ 3 times the square root of (a+3)\r<BR>\n" );
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document.write( "&#8730;(a+3)÷2+3&#8730;(a+3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351542 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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=351542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <B>Check my profile and contact me for one on one online tutoring.</B><P><BR>\n" );
document.write( "(sqrt(a+3))/ (2+3(sqrt(a+3)))  Remove the radical from the denominator by rationalizing the denominator.<P><BR>\n" );
document.write( "Remember that (a+b)(a-b) = a^2 + b^2.  We can remove a sqrt from the denominator a+sqrt  by multiplying by a-sqrt.  We can always multiply an expression by 1 without changing its value.  1 can be written as (a-sqrt)/(a-sqrt)<P>\r<BR>\n" );
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document.write( "In this case multiply by (2-3(sqrt(a+3)))/(2-3(sqrt(a+3))).<P>\r<BR>\n" );
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document.write( "((sqrt(a+3))/ (2+3(sqrt(a+3)))) * (2-3(sqrt(a+3))) = <P>\r<BR>\n" );
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document.write( "(2sqrt(a+3) -3(a+3)) / (4 - 9(a+3)) </SPAN>\n" );
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