document.write( "Question 870479: Please help me solve this equation: sqrt(8) + sqrt(12) + sqrt(18) \n" ); document.write( "
Algebra.Com's Answer #524894 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
I'm assuming you want to simplify this expression.\r
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\n" ); document.write( "\n" ); document.write( "First we simplify each radical.
\n" ); document.write( "You do so by factoring them into two numbers where one of the numbers is a perfect square (the largest possible that's a factor).
\n" ); document.write( "Then you break up the root and simplify (as shown below)\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%288%29=sqrt%284%2A2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%288%29=sqrt%284%29%2Asqrt%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%288%29=2%2Asqrt%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2812%29=sqrt%284%2A3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2812%29=sqrt%284%29%2Asqrt%283%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2812%29=2%2Asqrt%283%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2818%29=sqrt%289%2A2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2818%29=sqrt%289%29%2Asqrt%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2818%29=3%2Asqrt%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "Then you use those simplifications like so\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%288%29+%2B+sqrt%2812%29+%2B+sqrt%2818%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Asqrt%282%29+%2B+2%2Asqrt%283%29+%2B+3%2Asqrt%282%29\" Replace with simplified radicals (see above)\r
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\n" ); document.write( "\n" ); document.write( "\"%282%2Asqrt%282%29+%2B+3%2Asqrt%282%29%29+%2B+2%2Asqrt%283%29\" Collect/group like terms\r
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\n" ); document.write( "\n" ); document.write( "\"%282+%2B+3%29%2Asqrt%282%29+%2B+2%2Asqrt%283%29\" Factor out the GCF from that first group\r
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\n" ); document.write( "\n" ); document.write( "\"%285%29%2Asqrt%282%29+%2B+2%2Asqrt%283%29\" Add\r
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\n" ); document.write( "\n" ); document.write( "\"5%2Asqrt%282%29+%2B+2%2Asqrt%283%29\" Remove parenthesis\r
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\n" ); document.write( "\n" ); document.write( "So,
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