document.write( "Question 1118064: If sqrt5 = 2 + 1/a, show that a = 4 + 1/a. Thank you. \n" ); document.write( "
Algebra.Com's Answer #733289 by math_helper(2461)\"\" \"About 
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\"+sqrt%285%29+=+2+%2B+1%2Fa+\" —> \"+a+=+1%2F%28%28sqrt%285%29%29-2%29++\"\r
\n" ); document.write( "\n" ); document.write( "Let's rationalize a:\r
\n" ); document.write( "\n" ); document.write( " (1)
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\n" ); document.write( "\n" ); document.write( "Now
\n" ); document.write( "\"+4+%2B+1%2Fa+=++4+%2B+1%2F%28%28sqrt%285%29%29+%2B+2%29+\"\r
\n" ); document.write( "\n" ); document.write( "But we can use (1) to write :\r
\n" ); document.write( "\n" ); document.write( " <— the final expression is \"+highlight%28a%29+\" \r
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