document.write( "Question 252903: give the principal roots of each of the following.(for sqaure root is required unless the problem indicates otherwise.)\r
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Algebra.Com's Answer #185014 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%2849%29\" = \"sqrt%287%2A7%29\" = 7.\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28-27%29%5E3\" = \"%28sqrt%283%2A3%2A-3%29%29%5E3\" = \"%283%2Asqrt%28-3%29%29%5E3\" = \"3%5E3+%2A+sqrt%28-3%29%5E3\" = \"27%2Asqrt%28-3%29%5E2%2Asqrt%28-3%29\" = \"27%2A-3%2Asqrt%28-3%29\" = \"-81%2Asqrt%28-3%29\"\r
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\n" ); document.write( "\n" ); document.write( "to confirm first equation:\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%287%5E2%29\" = \"sqrt%2849%29\" = 7.\r
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\n" ); document.write( "\n" ); document.write( "to confirm second equation:\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28-81%2Asqrt%28-3%29%29%5E2%29\" = \"sqrt%28%28-81%29%5E2%2Asqrt%28-3%29%5E2%29\" = \"sqrt%286561%2A%28-3%29%29\" = \"sqrt%28-19683%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28-19683%29\" = \"sqrt%28%28-27%29%5E3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28-27%29%5E3%29\" is the same as \"%28sqrt%28-27%29%29%5E3\".\r
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\n" ); document.write( "\n" ); document.write( "this can be seen easier with exponential notation.\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28-27%29%5E3%29\" is the same as \"%28%28-27%29%5E3%29%5E%281%2F2%29\" which equals \"%28-27%29%5E%283%2A.5%29\" which equals \"%28-27%29%5E%281.5%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28-27%29%5E3\" is the same as \"%28%28-27%29%5E%281%2F2%29%29%5E3%29\" which equals \"%28-27%29%5E%28.5%2A3%29\" which equals \"%28-27%29%5E%281.5%29\".\r
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