the root of 363 -3 times the root of 27

First, we simplify the expressions under the square roots:

√363 = √(121 x 3) = 11√3

√27 = √(9 x 3) = 3√3

Now, we can plug these back into the original expression:

11√3 - 3(3√3)
= 11√3 - 9√3
= 2√3

Therefore, the solution is 2√3.