document.write( "Question 117419: I seriously cannot figure this one out!! I don't know what I'm doing wrong! Simplify and rationalize the denominator Radical X^2+11 = 2radical 3X Does anyone else get it? \n" ); document.write( "

Algebra.Com's Answer #85535 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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simplify and rationalize the denominator Radical X^2+11 = 2radical 3X
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\n" ); document.write( "The way I see this problem is you don't have a denominator here, I see it as:
\n" ); document.write( " $\"sqrt%28x%5E2%2B11%29+=+2sqrt%283x%29\"$ and you can solve it
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\n" ); document.write( "Square both sides and you have:
\n" ); document.write( "x^2 + 11 = 4(3x)
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\n" ); document.write( "x^2 + 11 = 12x
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\n" ); document.write( "x^2 - 12x + 11 = 0
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\n" ); document.write( "Factors to:
\n" ); document.write( "(x-11)(x-1) = 0
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\n" ); document.write( "x = +11, x = +1; and both solutions check out \n" ); document.write( "

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