document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87073>Question 87073</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0764106767/algebrahomeworkh>Painless Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Here is the problem:  I'm trying to simplify the square root of x^3 and the square root of x, written like (square root x^3)(square root of x).  The value of x here is x>0.  Why is the answer x^2?  (I have all the answers in my book, but I really like to know just how to work it out, instead of just writing that answer.)  \r<BR>\n" );
document.write( "\n" );
document.write( "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 #63041 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=63041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (square root x^3)(square root of x)\r<BR>\n" );
document.write( "\n" );
document.write( "= sqrt(x^3)*sqrt(x)<BR>\n" );
document.write( "Rule: sqrt(A)*sqrt(B)=sqrt(AB)\r<BR>\n" );
document.write( "\n" );
document.write( "= sqrt(x^4) \r<BR>\n" );
document.write( "\n" );
document.write( "= x^2\r<BR>\n" );
document.write( "\n" );
document.write( "because x^2*x^2=x^4<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );