Simplify the radical expression. Show all your steps.
√363 − 3√27
To simplify the radical expressions, we first need to find the square root of each number inside the radical:
√363 = √(121 * 3) = 11√3
√27 = √(9 * 3) = 3√3
Now, substitute these results back into the original expression:
11√3 - 3(3√3)
Multiply out the terms:
11√3 - 9√3
Combine like terms:
(11 - 9)√3
Simplify further:
2√3
Therefore, √363 - 3√27 is equal to 2√3.