Perform the operations and simplify: 3\sqrt(12)-5\sqrt(27)+2\sqrt(75)
To simplify the expression, we first need to find the square roots of the numbers inside the square root symbols.
√12 = 2√3
√27 = 3√3
√75 = 5√3
Now substitute these values back into the expression:
3(2√3) - 5(3√3) + 2(5√3)
6√3 - 15√3 + 10√3
(6 - 15 + 10)√3
1√3
So, the simplified expression is √3.