document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43217>Question 43217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify (be sure to rationalize all denominators) \r<BR>\n" );
document.write( "\n" );
document.write( "12. x^(3/4) + 5/[x^(1/4)] (you may assume x>0)\r<BR>\n" );
document.write( "\n" );
document.write( "Hello, I really need help with this problem. I tried myself and got this answer x+5/[x^(1/4)]. But, I was tould this is not correct. I was advised to re write the problem as x^(3/4)+[5/x^3/4]/x and then factor out the x^3/4. But I dont know exactly how to do this. I asked this question earlier, but i recieved the same incorrect answer that I came up with. If anyone could help me and show all the steps to the correct simplified answer with a rationalized denominators I would appriciate it so much. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28271 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=28271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay from<BR>\n" );
document.write( "x^(3/4) + 5/[x^(1/4)]<BR>\n" );
document.write( "let us rationalize the denominator of the second fraction by multiplying top and bottom by x^(3/4)...notice that will make the new denominator a full x...so we get<BR>\n" );
document.write( "x^(3/4) + 5*x^(3/4) / x^(3/4) =<BR>\n" );
document.write( "x^(3/4) + 5*x^(3/4) / x<BR>\n" );
document.write( "Now if you want to factor out the x^(3/4), we get<BR>\n" );
document.write( "x^(3/4)[1 + 5/x] </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );