document.write( "Question 877951: Why can't(-9+ sqrt(21))/6 be simplified further if all 3 numbers are multiples of three? Shouldn't you get \"-3+7, which gives you 4 from dividing the numerator by 6? or at least 9+ sqrt(7)/2? By the way the question is (3x+3)(x+2)=1 solve by quadratic formula. The help would be much obliged. \n" ); document.write( "
Algebra.Com's Answer #529624 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
The reason is because of that square root. If you had -9+21 over 6, then you can factor out 3. However, that 21 is buried in a root, so you can't factor out 3 from it. \r
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\n" ); document.write( "\n" ); document.write( "I guess you could say this\r
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\n" ); document.write( "\n" ); document.write( "\"-9%2Bsqrt%2821%29=-9%2Bsqrt%283%2A7%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"-9%2Bsqrt%2821%29=-9%2Bsqrt%283%29%2Asqrt%287%29\"\r
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\n" ); document.write( "\n" ); document.write( "but that's about it and it's not a good step in terms of simplifying\r
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\n" ); document.write( "\n" ); document.write( "So I'd stick with the answers of \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-9%2Bsqrt%2821%29%29%2F6\" or \"x+=+%28-9-sqrt%2821%29%29%2F6\"\r
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\n" ); document.write( "\n" ); document.write( "you can condense them into one single equation\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-9%2B-sqrt%2821%29%29%2F6\"
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