document.write( "Question 1128382: Express in simplest form, in terms of i. 2[SQRT(-81)] - 2[SQRT(-100)]\r
\n" ); document.write( "\n" ); document.write( "Please help with this question, i have no idea where to start! thanks! \n" ); document.write( "
Algebra.Com's Answer #744841 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Use these rules
\n" ); document.write( "Rule 1: \"i+=+sqrt%28-1%29\" by definition
\n" ); document.write( "Rule 2: \"sqrt%28x%2Ay%29+=+sqrt%28x%29%2Asqrt%28y%29\"
\n" ); document.write( "Rule 3: \"sqrt%28x%5E2%29+=+x\" where x is nonnegative\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Asqrt%28-81%29+-+2%2Asqrt%28-100%29+=+2%2Asqrt%28-1%2A81%29+-+2%2Asqrt%28-1%2A100%29\"\r
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\n" ); document.write( "\n" ); document.write( " Use rule 2\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Asqrt%28-81%29+-+2%2Asqrt%28-100%29+=+2%2Ai%2Asqrt%289%5E2%29+-+2%2Ai%2Asqrt%2810%5E2%29\" Use rule 1\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Asqrt%28-81%29+-+2%2Asqrt%28-100%29+=+2%2Ai%2A9+-+2%2Ai%2A10\" Use rule 3\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Asqrt%28-81%29+-+2%2Asqrt%28-100%29+=+18i+-+20i\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Asqrt%28-81%29+-+2%2Asqrt%28-100%29+=+-2i\"\r
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\n" ); document.write( "\n" ); document.write( "Answer: -2i \n" ); document.write( "
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