document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293229>Question 293229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operation and simplify:\r<BR>\n" );
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document.write( "a) square root of -54\r<BR>\n" );
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document.write( "b) i^53\r<BR>\n" );
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document.write( "c) (3i)^7\r<BR>\n" );
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document.write( "d) (5-3i)-(2-3i)\r<BR>\n" );
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document.write( "e) (3-2i)^2\r<BR>\n" );
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document.write( "f) square root of x-1 + square root of x = 1\r<BR>\n" );
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document.write( "I would appreciate any help. Thanks in advance! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211680 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=211680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operation and simplify: <BR>\n" );
document.write( "a) square root of -54<BR>\n" );
document.write( "= sqrt(-9)*sqrt(6) <BR>\n" );
document.write( "= +-3i*sqrt(6)<BR>\n" );
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document.write( "b) i^53 = i^(52+1) = (i^4)^13*i = 1^13*i = 1*i = i<BR>\n" );
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document.write( "c) (3i)^7 = 2187*i^4*i^3 = 2187*1*(-i) = -2187i<BR>\n" );
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document.write( "d) (5-3i)-(2-3i) = (5-2)+(-3--3)i = 3+0i = 3<BR>\n" );
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document.write( "e) (3-2i)^2 = 9 -2(3)(2i) + (2i)^2 = (9-4)-12i = 5-12i<BR>\n" );
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document.write( "f) square root of x-1 + square root of x = 1<BR>\n" );
document.write( "sqrt(x-1) + sqrt(x) = 1<BR>\n" );
document.write( "sqrt(x-1) = 1-sqrt(x)<BR>\n" );
document.write( "x-1 = 1-2sqrt(x)+x<BR>\n" );
document.write( "-2 = -2sqrt(x)<BR>\n" );
document.write( "sqrt(x) = 1<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= <BR>\n" );
document.write( " </SPAN>\n" );
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