# SOLUTION: Express the following in simplest form with a rational denominator. {{{(sqrt(2)-2) /(2sqrt(3)+sqrt(7))}}} So far I have: multipied it by {{{(sqrt(3) - 7) /(sqrt(3) - 7)}}} But

Algebra ->  -> SOLUTION: Express the following in simplest form with a rational denominator. {{{(sqrt(2)-2) /(2sqrt(3)+sqrt(7))}}} So far I have: multipied it by {{{(sqrt(3) - 7) /(sqrt(3) - 7)}}} But      Log On

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 Question 187629: Express the following in simplest form with a rational denominator. So far I have: multipied it by But after that I'm not to sure what to do. I don't even know if what I have done so far is right.Answer by Edwin McCravy(9717)   (Show Source): You can put this solution on YOUR website!``` I think you left off the 2 coefficient and also you left the square root symbol off of the 7 in what you multiplied by. To find out what to multiply by, take the denominator, Change the sign of the SECOND term, so that you have Now put that over itself: so that it will just equal to 1 and therefore it won't affect the value of the original problem when we multiply by it. Put parentheses around all numerators and denominators: Indicate the multiplication of the numerators and denominators, so that we just have one fraction: FOIL out the top and bottom: The middle two tems in the bottom cancel out: Take square roots of 9 and 49, which are 3 and 7: Edwin```