document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118064>Question 118064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated multiplication. Then simplify each radical expression.\r<BR>\n" );
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document.write( "1. square root of 13 TIMES square root of 5\r<BR>\n" );
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document.write( "2. square root of 7(2 square root of 3 + 3 square root of 7)\r<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 #86134 by </B><A HREF=/tutors/aboutme.mpl?userid=ilana><B>ilana(307)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ilana><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=86134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In general, sqrt(a)*sqrt(b)=sqrt(a*b).<BR>\n" );
document.write( "So for the first problem, simply multiply the 13 and 5 to get sqrt(65).  Now you need to see if this can be simplified by dividing by a perfect square.  Is it divisible by 4, 9, 16, 25, 36, 49, 64?  Nope.  So sqrt(65) is simplified.<BR>\n" );
document.write( "The second part is more complicated because you need to distribute.  This works the same as something like x(3x+5x).  You multiply the outside by both parts.  So sqrt7(2sqrt3+3sqrt7)=2sqrt21+3sqrt49.  Now simplify: 2sqrt21+3*7 = 2sqrt21 + 21 </SPAN>\n" );
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