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)

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

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(20054) (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

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