document.write( "Question 83552: Simplify (rationalize all denominators) \r
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\n" ); document.write( "\n" ); document.write( "I am pretty sure I need to multiply 3/[SQRT(5) - 2] by SQRT(5)+2 / SQRT (5) +2.
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Algebra.Com's Answer #60084 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
Simplify (rationalize all denominators)
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\n" ); document.write( "I am pretty sure I need to multiply 3/[SQRT(5) - 2] by SQRT(5)+2 / SQRT (5) +2.
\n" ); document.write( "Which I think would bring me to an answer of 3[SQRT(5)+6. I am not sure if i did everything right and am wonder if I came to the correct answer. Thank you.
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document.write( "The other tutor saw your 3[SQRT(5)+6 and thought you meant 3[SQRT(5)+6] which\r\n" );
document.write( "would have been wrong.  However you meant 3×SQRT(5)+6.  So I think you were\r\n" );
document.write( "right.  Here, let's go through it and see:\r\n" );
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document.write( "\"3%2F%28sqrt%285%29-2%29\" \r\n" );
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document.write( "Multiply by\r\n" );
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document.write( "\"+%28sqrt%285%29%2B2%29%2F%28sqrt%285%29%2B2%29\"\r\n" );
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document.write( "\"3%2F%28sqrt%285%29-2%29\"×\"+%28sqrt%285%29%2B2%29%2F%28sqrt%285%29%2B2%29\"\r\n" );
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document.write( "\"%28+3%28sqrt%285%29%2B2%29+%29%2F%28+sqrt%285%29%2B2+%29%28sqrt%285%29-2%29\"  \r\n" );
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document.write( "Multiply the top out and FOIL out the bottom:\r\n" );
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document.write( "\"%28+3%2Asqrt%285%29%2B6+%29%2F%285-2%2Asqrt%285%29%2B2%2Asqrt%285%29-4%29\" \r\n" );
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document.write( "The middle two terms in the bottom cancel, so we have\r\n" );
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document.write( "\"%28+3%2Asqrt%285%29%2B6+%29%2F%285-4%29\" \r\n" );
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document.write( "\"%28+3%2Asqrt%285%29%2B6+%29%2F1\"\r\n" );
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document.write( "\"+3%2Asqrt%285%29%2B6+\"\r\n" );
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document.write( "Looks like you're right!\r\n" );
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document.write( "Edwin
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