document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89329>Question 89329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't know how to do these. I just figured out how to simplify radical expressions, now I need to know how to add, subtr, mult, and divide them.\r<BR>\n" );
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document.write( "These are example problems:\r<BR>\n" );
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document.write( "3 and the sqrt of 8 + 4 and the sqrt of 50\r<BR>\n" );
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document.write( "sqrt of 12^2y^3 - the sqrt of 27x^4y\r<BR>\n" );
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document.write( "5th root of 4x^3y^4 * 5th root of 8x^2y^3\r<BR>\n" );
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document.write( "Sqrt of 3x^3/4y^2 * sqrt of 9x^2/2y^4\r<BR>\n" );
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document.write( "sqrt of 3x^4 divided by the sqrt of 9xy^5\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 #64891 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=64891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3 and the sqrt of 8 + 4 and the sqrt of 50<BR>\n" );
document.write( "Do you mean 3sqrt8 + 4sqrt50<BR>\n" );
document.write( "If it is the problem unfolds this way:<BR>\n" );
document.write( "=3sqrt4*sqrt2 + 4sqrt25*sqrt2\r<BR>\n" );
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document.write( "= 3*2sqrt2 + 4*5sqrt2\r<BR>\n" );
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document.write( "= 6sqrt2 + 20sqrt2\r<BR>\n" );
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document.write( "= 26sqrt2<BR>\n" );
document.write( "----------------------------------<BR>\n" );
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document.write( "sqrt of 12^2y^3 - the sqrt of 27x^4y <BR>\n" );
document.write( "= sqrt(12^2y^2)*sqrty - sqrt(9x^4)*sqrt(3y)\r<BR>\n" );
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document.write( "= 12y*sqrt(y) - 3x^2*sqrt(3y)<BR>\n" );
document.write( "----------------------------------\r<BR>\n" );
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document.write( "5th root of 4x^3y^4 * 5th root of 8x^2y^3\r<BR>\n" );
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document.write( "= 5th root (32x^5y^7)\r<BR>\n" );
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document.write( "= 2xy*5th rt. of y^2<BR>\n" );
document.write( "------------------------------------<BR>\n" );
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document.write( "Sqrt of 3x^3/4y^2 * sqrt of 9x^2/2y^4\r<BR>\n" );
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document.write( "= sqrt[27x^5/8y^6]\r<BR>\n" );
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document.write( "= [(3/4)x^2/y^3]*sqrt[(3/2)x]<BR>\n" );
document.write( "-------------------------------------\r<BR>\n" );
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document.write( "sqrt of 3x^4 divided by the sqrt of 9xy^5 \r<BR>\n" );
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document.write( "= [x^2sqrt(3)] /[3y^2sqrt(xy)]\r<BR>\n" );
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document.write( "Multiply numerator and denominator by sqrt(xy) to get:\r<BR>\n" );
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document.write( "= [x^2sqrt(3xy)] / [3y^2(xy)]\r<BR>\n" );
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document.write( "Cancel factors common to numerator and denominator to get:\r<BR>\n" );
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document.write( "= [xsqrt(3xy)] / [3y^3]<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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