document.write( "Question 77913: can you help me simplify by combining like terms?\r
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Algebra.Com's Answer #55840 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%2863%29-2%2Asqrt%2828%29%2B5%2Asqrt%287%29\"
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\n" ); document.write( "In each square root look for factors that are squares.
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\n" ); document.write( "\"sqrt%289%2A7%29-+2%2Asqrt%284%2A7%29%2B5%2Asqrt%287%29\"
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\n" ); document.write( "Notice that 9 in the first square root and 4 in the second square root are squares.
\n" ); document.write( "Split the squares using the product rule for square roots to get:
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\n" ); document.write( "\"sqrt%289%29%2Asqrt%287%29+-+2%2Asqrt%284%29%2Asqrt%287%29+%2B+5%2Asqrt%287%29\"
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\n" ); document.write( "Take the square root of 9 and the square root of 4 to reduce the expression to:
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\n" ); document.write( "\"3%2Asqrt%287%29+-+2%2A2%2Asqrt%287%29+%2B+5%2Asqrt%287%29\"
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\n" ); document.write( "Multiply the 2*2:
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\n" ); document.write( "\"3%2Asqrt%287%29+-+4%2Asqrt%287%29+%2B+5%2Asqrt%287%29\"
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\n" ); document.write( "Factor the \"sqrt%287%29\" from each of the three terms to get:
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\n" ); document.write( "\"%283+-+4+%2B+5%29%2Asqrt%287%29\"
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\n" ); document.write( "Combine the terms inside the parentheses to get +4 and the expression finally becomes:
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\n" ); document.write( "\"4%2Asqrt%287%29\"
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\n" ); document.write( "That's the answer. Cheers!
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