To simplify the expression (3√5 - 4√5) / (3√5 + 4√5), we can combine the terms that have the same radical.
Rewriting the expression, we get (3 - 4)√5 / (3 + 4)√5.
Simplifying further, we get -√5 / 7√5.
Since the radicals are the same, we can cancel them out, resulting in -1/7.
Therefore, (3√5 - 4√5) / (3√5 + 4√5) simplifies to -1/7.
Simplify 3root5 - 4root5 divided by 3root5 + 4root5
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