document.write( "Question 130461This question is from textbook Introductory Algebra
\n" ); document.write( ": The problem states to rationalize the denominator.\r
\n" ); document.write( "\n" ); document.write( "The sqrt of 2 - 4/z^2 + 2/z^4\r
\n" ); document.write( "\n" ); document.write( "I came up with (z^2 - 1) * sqrt of 2 over z^2 \r
\n" ); document.write( "\n" ); document.write( "Any help would be greatly appreciated. Thanks! \n" ); document.write( "
Algebra.Com's Answer #95356 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
The problem states to rationalize the denominator. \r
\n" ); document.write( "\n" ); document.write( "\"sqrt%282+-+4%2Fz%5E2+%2B+2%2Fz%5E4%29\" \r
\n" ); document.write( "\n" ); document.write( "I came up with \"%28z%5E2+-+1%29sqrt%282%29%2Fz%5E2\"
\n" ); document.write( "Any help would be greatly appreciated. Thanks!\r
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document.write( "Let's see:\r\n" );
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document.write( "\"sqrt%282+-+4%2Fz%5E2+%2B+2%2Fz%5E4%29\"\r\n" );
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document.write( "\"sqrt%282z%5E4%2Fz%5E4+-+%284z%5E2%29%2F%28z%5E2z%5E2%29+%2B+2%2Fz%5E4%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sqrt%282z%5E4%2Fz%5E4+-+%284z%5E2%29%2Fz%5E4+%2B+2%2Fz%5E4%29\"\r\n" );
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document.write( "\"sqrt%28%282z%5E4+-+4z%5E2+%2B+2%29%2Fz%5E4%29\"\r\n" );
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document.write( "\"sqrt%282z%5E4+-+4z%5E2+%2B+2%29%2Fsqrt%28z%5E4%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sqrt%282%28z%5E4+-+2z%5E2+%2B+1%29%29%2Fz%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "\"sqrt%282%28z%5E2+-+1%29%28z%5E2+-+1%29%29%2Fz%5E2\"\r\n" );
document.write( " \r\n" );
document.write( "\"sqrt%282%28z%5E2+-+1%29%5E2%29%2Fz%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28sqrt%282%29sqrt%28%28z%5E2+-+1%29%5E2%29%29%2Fz%5E2\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28++sqrt%282%29abs%28z%5E2+-+1%29+++%29%2Fz%5E2\"\r\n" );
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document.write( "Your answer is equivalent to mine, except for the \r\n" );
document.write( "absolute value bars.  The absolute value bars\r\n" );
document.write( "are technically necessary because \"z%5E2-1\" is\r\n" );
document.write( "negative when z < 1, yet by agreement no radical \r\n" );
document.write( "square root can ever be negative.\r\n" );
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document.write( "However your teacher may just ignore this fact\r\n" );
document.write( "and accept your answer as you have it without the \r\n" );
document.write( "absolute value bars.\r\n" );
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document.write( "Edwin
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