4\sqrt{75}+10\sqrt{3}-\sqrt{27}
To simplify the expression, we first simplify the square root of 75 and the square root of 27:
√75 = √(25 × 3) = √25 × √3 = 5√3
√27 = √(9 × 3) = √9 × √3 = 3√3
Now we substitute these simplified values back into the expression:
4√75 + 10√3 - √27
= 4(5√3) + 10√3 - 3√3
= 20√3 + 10√3 - 3√3
= (20 + 10 - 3)√3
= 27√3
Therefore, the simplified form of the expression is 27√3.