Simplify the radical expression show all your steps.
sqrt 363-3sqrt27
First, let's simplify the square root of 363:
sqrt(363) = sqrt(121*3) = sqrt(121)*sqrt(3) = 11sqrt(3)
Now, let's simplify -3sqrt(27):
-3sqrt(27) = -3sqrt(9*3) = -3*3sqrt(3) = -9sqrt(3)
Now, we can subtract these simplified expressions:
sqrt(363) - 3sqrt(27) = 11sqrt(3) - 9sqrt(3) = 2sqrt(3)
Therefore, the simplified radical expression is 2sqrt(3).