document.write( "Question 497716: sqrt 27-sqrt 48 \n" ); document.write( "
Algebra.Com's Answer #336962 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
Given Problem:
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\n" ); document.write( "\"sqrt%2827%29-sqrt%2848%29\"
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\n" ); document.write( "Factor the terms inside each radical. Look for factors that are perfect squares (in this problem they are 9 and 16).
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\n" ); document.write( "\"sqrt%289%2A3%29-+sqrt%2816%2A3%29\"
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\n" ); document.write( "Split each of the radicals into the product of the radicals of its factors:
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\n" ); document.write( "\"sqrt%289%29%2Asqrt%283%29-sqrt%2816%29%2Asqrt%283%29\"
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\n" ); document.write( "Determine the square roots of the two radicals containing 9 and 16:
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\n" ); document.write( "\"3%2Asqrt%283%29-+4%2Asqrt%283%29\"
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\n" ); document.write( "Factor out the square root of 3 because it is common to both terms:
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\n" ); document.write( "\"sqrt%283%29%2A%283-4%29\"
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\n" ); document.write( "Combine the two terms in the parentheses:
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\n" ); document.write( "\"sqrt%283%29%2A%28-1%29\"
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\n" ); document.write( "Multiply the -1 times the square root of 3 and use a calculator to determine the decimal value of the square root of 3:
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\n" ); document.write( "\"-sqrt%283%29+=+-1.732050808\"
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\n" ); document.write( "Hope this helps you to understand how to do this problem and others like it.\r
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