Simplify. 3root5 - 4root5/3root5 + 4root5

Answer 1

To simplify the expression, we can combine like terms by adding the terms that have the same radical.

(3√5 - 4√5)/(3√5 + 4√5)

Simplifying the numerator gives:

(-√5)/(3√5 + 4√5)

We can factor out √5 from the denominator:

(-√5)/(7√5)

Finally, we can cancel out the common factor of √5:

-1/7