document.write( "Question 72233This question is from textbook Elementary Algebra
\n" ); document.write( ": Rationalize the denominator \r
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\n" ); document.write( "\n" ); document.write( "square root of 11 / square 0f 7 =\r
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Algebra.Com's Answer #51642 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
To rationalize anything is to make it a rational number. In other words, a rational number is any number that can be represented by a \"ratio\" or fraction (notice the connection of words). Since $\"sqrt%28y%29\"$ is not a rational number, we need to get it to a rational number. We can do this by multiplying both numerator and denominator by $\"sqrt%287%29\"$
\n" ); document.write( " $\"%28sqrt%2811%29%2Fsqrt%287%29%29%2A%28sqrt%287%29%2Fsqrt%287%29%29\"$
\n" ); document.write( " $\"%28sqrt%2811%29%2Asqrt%287%29%29%2F%28sqrt%287%29%2Asqrt%287%29%29\"$
\n" ); document.write( " $\"%28sqrt%2811%29%2Asqrt%287%29%29%2F7\"$ The square roots of 7 become 7 (ie $\"%28sqrt%287%29%29%5E2=7\"$ )
\n" ); document.write( " $\"%28sqrt%2811%29%2Asqrt%287%29%29%2F7\"$ Here's the answer
\n" ); document.write( " $\"sqrt%2877%29%2F7\"$ The answer could also be written as this \n" ); document.write( "

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