document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236331>Question 236331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> N is 80% of P\r<BR>\n" );
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document.write( "N to the root of 2 is what percent of P to the root of 2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173979 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=173979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n = 80% of p means that:\r<BR>\n" );
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document.write( "n = .8*p\r<BR>\n" );
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document.write( "take the square root of both sides of this equation and you get:\r<BR>\n" );
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document.write( "sqrt(n) = sqrt(.8*p) = sqrt(.8) * sqrt(p)\r<BR>\n" );
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document.write( "sqrt(.8) = .894427191 * 100% = 89.4427191%\r<BR>\n" );
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document.write( "your answer is:\r<BR>\n" );
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document.write( "sqrt(n) = 89.4427191% of sqrt(p)\r<BR>\n" );
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document.write( "to confirm, let n = 100\r<BR>\n" );
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document.write( "this makes p = 100/.8 = 125\r<BR>\n" );
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document.write( "equation of\r<BR>\n" );
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document.write( "n = .8*p becomes\r<BR>\n" );
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document.write( "100 = .8*125\r<BR>\n" );
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document.write( "take sqrt of both sides to get:\r<BR>\n" );
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document.write( "sqrt(100) = sqrt(.8*125) = sqrt(.8) * sqrt(125)\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "10 = .894427191 * 11.18033989\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "10 = 10\r<BR>\n" );
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document.write( "Answer is confirmed.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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