document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89271>Question 89271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. I'm really confused --I'm trying to simplify these radicals, but I'm lost as to what steps to take. My instructor gives a different method then I learned (I din't even have that down. We have a test and I don't think I'll pass this section unless I get some help.\r<BR>\n" );
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document.write( "I'm not sure how to key the radical sign on my computor keyboard. Here's a few of the problems (sorry there's more than one, but I need to know the formulas, because I notice that not all problems can be solved just the same way, so here's one of every kind of problem I'm simplifying:\r<BR>\n" );
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document.write( "The square root of 27x^3y^5\r<BR>\n" );
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document.write( "The cubed root 125x^9y^5/8x^3z^12\r<BR>\n" );
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document.write( "1/the square root of 5xy^2\r<BR>\n" );
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document.write( "2x/the 4th root of 3xy^2\r<BR>\n" );
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document.write( "x/3- the square root of x\r<BR>\n" );
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document.write( " \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 #64878 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=64878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The square root of 27x^3y^5<BR>\n" );
document.write( "= [sqrt(9x^2y^4)[sqrt(3xy)]<BR>\n" );
document.write( "= [3xy^2][sqrt(3xy)]<BR>\n" );
document.write( "--------------------------<BR>\n" );
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document.write( "The cubed root 125x^9y^5/8x^3z^12 <BR>\n" );
document.write( "=  cbrt[(125/8)x^6y^3 / z^12]*cbrt[y^2]<BR>\n" );
document.write( "=[(5/2)x^2y/z^4]*cbrt(y^2)<BR>\n" );
document.write( "--------------------------\r<BR>\n" );
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document.write( "1/the square root of 5xy^2 <BR>\n" );
document.write( "Multiply numerator and denominator by sqrt(5x) to get:<BR>\n" );
document.write( "[sqrt(5x)] / [5xy]<BR>\n" );
document.write( "---------------\r<BR>\n" );
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document.write( "2x/the 4th root of 3xy^2 <BR>\n" );
document.write( "Multiply numerator and denominator by 4th root of (3^3x^3y^2) to get:<BR>\n" );
document.write( "[2x*4th rt of (27x^3y^2)] / [3xy]<BR>\n" );
document.write( "Cancel the common factor of \"x\" to get:<BR>\n" );
document.write( "(2/3)[4th rt of (27x^3y^2)]/[3y]<BR>\n" );
document.write( "=============\r<BR>\n" );
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document.write( "x/[3- sqrt(x)] <BR>\n" );
document.write( "Multiply numerator and denominator by (3+sqr(x)) to get:<BR>\n" );
document.write( "[x(3+sqrtx]/[9-x]<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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