SOLUTION: Rationalize the denominator {{{10/(7sqrt(3))}}}

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Question 210019: Rationalize the denominator
10%2F%287sqrt%283%29%29

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator.
%2810%2F%287sqrt%283%29%29%29

Multiply by %28sqrt%283%29%2Fsqrt%283%29%29 which is really just 1,
and it doesn't change the value to multiply by 1.

%2810%2F%287sqrt%283%29%29%29%28sqrt%283%29%2Fsqrt%283%29%29

Multiply the tops and the bottoms:

++%2810sqrt%283%29%29+%2F++%28++7%28sqrt%283%29%29%5E2+%29++%29

Replace the %28sqrt%283%29%29%5E2 by %283%29

++%2810sqrt%283%29%29+%2F++%28++7%283+%29++%29

Replace 7%283%29 by 21

++%2810sqrt%283%29%29+%2F21++

Edwin