document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67869>Question 67869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify. Assume all variables represent positive numbers.\r<BR>\n" );
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document.write( "SQRT x^4y^3\r<BR>\n" );
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document.write( "Can anyone help me understand this type of problem. I am so lost with the concept pf trying to figure this problem out. Thank you in advance as well! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48251 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=48251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SQRT [x^4y^3 ]<BR>\n" );
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document.write( "Separate the x^4y^3 into two factors;<BR>\n" );
document.write( "Make the first factor be the highest possible perfect square factor<BR>\n" );
document.write( "and let the 2nd factor be the remaining factor required.<BR>\n" );
document.write( "In your problem:<BR>\n" );
document.write( "Let the 1st factor be x^4y^2 because that is a perfect square.<BR>\n" );
document.write( "Let the 2nd factor be y because that is the only piece missing.<BR>\n" );
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document.write( "You now have sqrt[(x^4y^2)(y)]<BR>\n" );
document.write( "Take the square root of the perfect square factor out of the radical<BR>\n" );
document.write( "and leave the 2nd factor in the radical to get:<BR>\n" );
document.write( "=x^2y sqrt(y)\r<BR>\n" );
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document.write( "That is the procdure to follow whenever you are simplifying square root.<BR>\n" );
document.write( "For example: <BR>\n" );
document.write( "sqrt(125) = sqrt(25*5)= 5sqrt5<BR>\n" );
document.write( "sqrt(40) = sqrt(4*10) = 2sqrt10<BR>\n" );
document.write( "sqrt(80) = sqrt(16*5)= 4sqrt5\r<BR>\n" );
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document.write( "Hope this helps.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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