document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171812>Question 1171812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify: sqrt 45x^3y^4/16x^2\r<BR>\n" );
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document.write( "Thank you.<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 #796717 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see my worksheet.\r<BR>\n" );
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document.write( "step 1 shows the original problem.<BR>\n" );
document.write( "step 2 divides x^3 by x^2 to get x.<BR>\n" );
document.write( "step 3 takes the square root of y^4 and the square root of 16 and moves them out from within the square root sign.  this is because the square root of y^4 is equal to y^2 and the square root of 16 is equal to 4.<BR>\n" );
document.write( "step 4 breaks up 45 into 5 * 9.<BR>\n" );
document.write( "step 5 takes sqrt 9 and moves it out from within the square root sign.   this is because square root of 9 is equal to 3.\r<BR>\n" );
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document.write( "the final simplification is step 5.<BR>\n" );
document.write( "i can't see any other way to simplify it further.<BR>\n" );
document.write( "i checked with random numbers (7 for x and 15 for y) and got the same answer from both the original expression and the final expression.<BR>\n" );
document.write( "this confirms the simplification was done correctly.\r<BR>\n" );
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document.write( "you can check it for yourself.<BR>\n" );
document.write( "just replace x with 7 and y with 15.<BR>\n" );
document.write( "you should get 998.3384634 from both the original expression (step 1) and the final expression (step 5).\r<BR>\n" );
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