document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039767>Question 1039767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What steps do you use to simplify radicals? Give an example step by step. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654527 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654527\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplifying a radical involves finding a factor that is a perfect square and making the radical two radicals, one of which is a perfect square.<BR>\n" );
document.write( "Sqrt(75)=sqrt(25)*sqrt(3)<BR>\n" );
document.write( "That is 5* sqrt(3)<BR>\n" );
document.write( "Yes, I could write sqrt(15)(sqrt(5), but neither of those is a perfect square.<BR>\n" );
document.write( "Try to divide the original radical by perfect squares, beginning with 4, then 9, then 16, 25, 36,...<BR>\n" );
document.write( "Square root of 98= sqrt (49)*sqrt(2)<BR>\n" );
document.write( "That is 7 sqrt(2).<BR>\n" );
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document.write( "To rationalize a radical, multiply the denominator's radical by itself and therefore do the same to the numerator.<BR>\n" );
document.write( "5/ sqrt(2)= 5 * sqrt(2)/sqrt(2)*sqrt(2).  That makes the denominator an integer but makes the numerator a radical. That's OK.  The result is 5 sqrt(2)/2 </SPAN>\n" );
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