# SOLUTION: Rationalize the denominators {{{ sqrt( 7 ) - sqrt( 6 )}}} / {{{ sqrt( 7 ) + sqrt( 6 )}}} Combine {{{ 8sqrt( 12 ) - 3sqrt( 27 ) }}}

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Rationalize the denominators {{{ sqrt( 7 ) - sqrt( 6 )}}} / {{{ sqrt( 7 ) + sqrt( 6 )}}} Combine {{{ 8sqrt( 12 ) - 3sqrt( 27 ) }}}       Log On

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 Algebra: Expressions involving variables, substitution Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Expressions-with-variables Question 114450: Rationalize the denominators / Combine Answer by solver91311(16897)   (Show Source): You can put this solution on YOUR website! / To rationalize a denominator that is the sum or difference of two square roots, you need to recall the factorization of the difference of two squares, namely: If you multiply the denominator of your fraction by , you will get for your new denominator. But in order to introduce that factor into the denominator, you have to multiply the entire fraction by 1 in the form of . Here is the entire expression: . Now, multiply the binomials and simplify: