First, simplify the square roots:
√125 = √(25 5) = 5√5√20 = √(4 5) = 2√5√80 = √(16 * 5) = 4√5
So the expression becomes:
(2(5√5) + 2(2√5) - 2(4√5)) / (3√5)
Simplify further:
(10√5 + 4√5 - 8√5) / (3√5)
(6√5) / (3√5)
= 6/3= 2
Therefore, the result is 2.
First, simplify the square roots:
√125 = √(25 5) = 5√5
√20 = √(4 5) = 2√5
√80 = √(16 * 5) = 4√5
So the expression becomes:
(2(5√5) + 2(2√5) - 2(4√5)) / (3√5)
Simplify further:
(10√5 + 4√5 - 8√5) / (3√5)
(6√5) / (3√5)
= 6/3
= 2
Therefore, the result is 2.