document.write( "Question 129342: Simplify\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F4%29%2Asqrt%28-144%29\"
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Algebra.Com's Answer #94480 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%283%2F4%29%2Asqrt%28-144%29\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F4%29%2Asqrt%28-1%2A144%29\" Factor \"-144\" into \"-1%2A144\"\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F4%29%2Asqrt%28-1%29%2Asqrt%28144%29\" Break up the square root\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F4%29%2Ai%2Asqrt%28144%29\" Replace \"sqrt%28-1%29\" with \"i\". Remember, \"sqrt%28-1%29=i\"\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F4%29%2Ai%2A12\" Take the square root of 144 to get 12\r
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\n" ); document.write( "\n" ); document.write( "\"9%2Ai\" Multiply 12 and \"3%2F4\" to get \"%2812%2F1%29%2A%283%2F4%29=36%2F4=9\"\r
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\n" ); document.write( "\n" ); document.write( "So \"%283%2F4%29%2Asqrt%28-144%29=9i\"
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