Simplify the radical expression. Show all your steps and write it like a student be concise.
\sqrt(363)-3\sqrt(27)
First, simplify each square root:
√363 = √(121 * 3) = √121 * √3 = 11√3
√27 = √(9 * 3) = √9 * √3 = 3√3
Now, substitute these simplified values back into the original expression:
√363 - 3√27 = 11√3 - 3(3√3)
= 11√3 - 9√3
= 2√3
Therefore, the simplified radical expression is 2√3.