Simplify the radical expression. Show all your steps.
√363-3√27
To simplify √363-3√27, we first need to simplify the square roots:
√363 = √(121 * 3) = 11√3
√27 = √(9 * 3) = 3√3
Now substitute back into the original expression:
11√3 - 3 * 3√3
= 11√3 - 9√3
= (11 - 9)√3
= 2√3
Therefore, √363-3√27 simplifies to 2√3.