document.write( "Question 617255: Rationalize the denominator of 7√3-5√2 divided by √48+√18 \n" ); document.write( "
Algebra.Com's Answer #388238 by jsmallt9(3758)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Before going about rationalizing the denominator, I'm going to simplify the denominator. It will make the numbers smaller and easier to work with. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Now we'll rationalize. Rationalizing two-term denominators with square roots takes advantage of the \n" ); document.write( "Your denominator is a two-term sum. IOW, an (a+b). To turn it into an expression of perfect squares we need to multiply it by its corresponding (a-b): \n" ); document.write( " \n" ); document.write( "Multiplying the denominators is easy; just use the pattern. To multiply the numerators we will need to use FOIL: \n" ); document.write( " \n" ); document.write( "which simplifies as follows: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |